cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A342251 Number of ways to write n as an ordered sum of eight powers of 2.

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%I A342251 #9 Feb 27 2023 03:59:16
%S A342251 1,8,28,64,126,224,336,464,645,840,1044,1344,1666,1904,2192,2528,2730,
%T A342251 3024,3528,3920,4284,4768,5168,5488,5965,6552,7140,7616,7834,8176,
%U A342251 8400,8352,8862,9632,9800,10080,10788,10976,11152,12208,13090,13664,14392,14672,14868,15008,15344
%N A342251 Number of ways to write n as an ordered sum of eight powers of 2.
%H A342251 Robert Israel, <a href="/A342251/b342251.txt">Table of n, a(n) for n = 8..10000</a>
%F A342251 G.f.: ( Sum_{k>=0} x^(2^k) )^8.
%p A342251 N:= 100:
%p A342251 S:= add(x^(2^j),j=0..ilog2(N-7))^8:
%p A342251 seq(coeff(S,x,j),j=8..N); # _Robert Israel_, Feb 26 2023
%t A342251 nmax = 54; CoefficientList[Series[Sum[x^(2^k), {k, 0, Floor[Log[2, nmax]] + 1}]^8, {x, 0, nmax}], x] // Drop[#, 8] &
%Y A342251 Cf. A000079, A023359, A073267, A151759, A151760, A151761, A151762, A209229, A342248, A342250, A342252, A342254.
%K A342251 nonn
%O A342251 8,2
%A A342251 _Ilya Gutkovskiy_, Mar 07 2021