December 13, 2011

Devin's Sequence

I have found my own unique integer sequence, I'll just call it Devin's Sequence, and as far as I know this is an original. I'm having a hard time finding an exact formula for it, but I do know how to generate it empirically, because I'm using it in one of my programs. I just wish I could figure out a formula to find any value in this pattern, but alas my math has failed me! Here is the first 20 values:


1, 9, 21, 37, 57, 89, 121, 161, 213, 261, 325, 385, 457, 545, 621, 717, 805, 917, 1033, 1137, ...

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