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a(n) is the least integer that can be expressed as the difference of two pentagonal numbers in exactly n ways.
5

%I #10 Apr 16 2020 18:48:26

%S 1,22,70,715,1330,4025,6370,14014,17290,25025,45815,73150,121030,

%T 95095,85085,256025,350350,432250,1179178,425425,575575,734825,950950,

%U 1926925,3751930,2187185,1616615,1956955,3148145,3658655,4029025,2977975,4352425,6656650,13918450

%N a(n) is the least integer that can be expressed as the difference of two pentagonal numbers in exactly n ways.

%C The least integer that can be expressed as the sum of one or more consecutive numbers congruent to 1 mod 3 in exactly n ways.

%C Index of first occurrence of n in A333815.

%H Chai Wah Wu, <a href="/A334034/b334034.txt">Table of n, a(n) for n = 1..72</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PentagonalNumber.html">Pentagonal Number</a>

%H <a href="/index/Pol#polygonal_numbers">Index to sequences related to polygonal numbers</a>

%Y Cf. A000326, A016777, A038547, A068314, A333815, A334008, A334035, A334036, A334037.

%K nonn

%O 1,2

%A _Ilya Gutkovskiy_, Apr 12 2020

%E More terms from _Jinyuan Wang_, Apr 13 2020