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

%I #6 Apr 13 2020 08:02:21

%S 1,133,560,1729,4160,10640,14560,22400,44800,58240,138320,98560,

%T 123200,203840,246400,394240,320320,492800,800800,640640,1047200,

%U 1823360,1724800,1281280,2094400,1601600,2475200,2722720,4484480,3203200,5532800,6697600,5445440,7958720

%N a(n) is the least integer that can be expressed as the difference of two octagonal 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 6 in exactly n ways.

%C Index of first occurrence of n in A333818.

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

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

%Y Cf. A000567, A016921, A038547, A068314, A333818, A334012, A334034, A334035, A334036.

%K nonn

%O 1,2

%A _Ilya Gutkovskiy_, Apr 12 2020

%E More terms from _Jinyuan Wang_, Apr 13 2020