login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

a(n) is the least integer that can be expressed as the sum of one or more consecutive nonzero heptagonal numbers in exactly n ways.
6

%I #10 Apr 14 2020 12:34:31

%S 1,872,8240232,263346158075

%N a(n) is the least integer that can be expressed as the sum of one or more consecutive nonzero heptagonal numbers in exactly n ways.

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

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

%e Let S(k, m) denote the sum of m heptagonal numbers starting from the k-th. We have

%e a(1) = S(1, 1);

%e a(2) = S(13, 2) = S(3, 8);

%e a(3) = S(133, 98) = S(479, 14) = S(168, 77);

%e a(4) = S(6773, 1785) = S(810, 6006) = S(7467, 1547) = S(38758, 70).

%Y Cf. A000566, A054859, A068314, A186337, A298467, A322636, A334007, A334008, A334010, A334012.

%K nonn,hard,more

%O 1,2

%A _Ilya Gutkovskiy_, Apr 12 2020

%E a(4) from _Giovanni Resta_, Apr 14 2020