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Puzzlers Lesson 11: OEIS Mystery Cache

Hidden : 1/16/2021
Difficulty:
3 out of 5
Terrain:
1.5 out of 5

Size: Size:   small (small)

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Geocache Description:


This cache is not at the posted coordinates.

Introduction


This is the eleventh in my series of caches meant to teach people some ways to solve puzzle caches. Please read the information above the line in Puzzlers Lesson 1: Alphabets.

The On-Line Encyclopedia of Integer Sequences


The On-Line Encyclopedia of Integer Sequences® (OEIS®) "[...] records information on integer sequences of interest to both professional and amateur mathematicians, and is widely cited. As of November 2020, it contains 338,526 sequences, making it the largest database of its kind." (from Wikipedia)

OEIS includes the sequence of digits of the irrational numbers discussed in Puzzlers Lesson 10, prime numbers, Fibonacci numbers, Fibonacci(n)!, magic numbers, autobiographical numbers, etc.

Each cataloged sequence is also numbered. As of the date of this cache being placed the largest catalog number is 340711, which is reserved. The largest populated catalog number is 340706.

The OEIS lets you search for one of theses sequences by entering part of the sequence. The integers entered must be in the order they appear in the cataloged sequence. However, as may often happen in puzzles, the integers in the puzzle may not be in the order they appear in the cataloged sequence. In order to find the sequence you will probably need to use one of the many Internet search engines because they tend to search for individual integers regardless of the order in which you enter them.

The list of numbers in the sequence may be used to translate to numbers in the coordinates or as letters, as shown in Puzzlers Lesson 9: Ordered Items. If the puzzle is of this type then the numbers will definitely not be in the order in the sequence. There may even be multiple sequences that contain the same integers used in the puzzle. When multiple sequences match then you will have to figure out which sequence is applicable.

As indicated previously, zero may be represented by then tenth integer in the sequence, by the first integer representing zero, or by an integer not in the sequence.

You can also search these sequences by name or partial name. Unlike when searching for numbers in a sequence, the key words in the name don't even have to be in order.

Other Such Catalogs


While a very large catalog, the OIES may not contain all useful integer sequences. That won't be done in this puzzle, but may be done in someone else's puzzle. If you find any such other catalogs then please let me know so that I can add them to a list here.

Puzzle


Now, on to the puzzle:

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0
109629, 160390, 191520, 120990, 146328, 175439, 133209



You can validate your puzzle solution with certitude.

Congratulations to Dix1, runninbear1, grumpywombat, and Oreoshakers for being first to find.

Additional Hints (No hints available.)