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

1, 8, 28, 64, 126, 224, 336, 464, 645, 840, 1044, 1344, 1666, 1904, 2192, 2528, 2730, 3024, 3528, 3920, 4284, 4768, 5168, 5488, 5965, 6552, 7140, 7616, 7834, 8176, 8400, 8352, 8862, 9632, 9800, 10080, 10788, 10976, 11152, 12208, 13090, 13664, 14392, 14672, 14868, 15008, 15344

Offset

8,2

Links

Robert Israel, Table of n, a(n) for n = 8..10000

Formula

G.f.: ( Sum_{k>=0} x^(2^k) )^8.

Maple

N:= 100:
S:= add(x^(2^j), j=0..ilog2(N-7))^8:
seq(coeff(S, x, j), j=8..N); # Robert Israel, Feb 26 2023

Mathematica

nmax = 54; CoefficientList[Series[Sum[x^(2^k), {k, 0, Floor[Log[2, nmax]] + 1}]^8, {x, 0, nmax}], x] // Drop[#, 8] &

Crossrefs

Cf. A000079, A023359, A073267, A151759, A151760, A151761, A151762, A209229, A342248, A342250, A342252, A342254.

Sequence in context: A033580 A299289 A212515 * A007331 A002408 A340964

Adjacent sequences: A342248 A342249 A342250 * A342252 A342253 A342254

Keyword

nonn

Author

Ilya Gutkovskiy, Mar 07 2021

Status

approved