A342250 Number of ways to write n as an ordered sum of seven powers of 2.

1, 7, 21, 42, 77, 126, 168, 218, 294, 357, 427, 546, 637, 672, 756, 840, 854, 966, 1134, 1218, 1302, 1408, 1484, 1554, 1680, 1827, 1995, 2002, 1925, 2016, 1988, 1904, 2142, 2352, 2282, 2352, 2534, 2520, 2604, 2954, 3080, 3276, 3262, 3234, 3150, 3248, 3164, 3402, 3640

Offset

7,2

Links

Robert Israel, Table of n, a(n) for n = 7..10000

Formula

G.f.: ( Sum_{k>=0} x^(2^k) )^7.

Maple

N:= 100:
S:= add(x^(2^j), j=0..ilog2(N-6))^7:
[seq](coeff(S, x, j), j=7..N); # Robert Israel, Feb 26 2023

Mathematica

nmax = 55; CoefficientList[Series[Sum[x^(2^k), {k, 0, Floor[Log[2, nmax]] + 1}]^7, {x, 0, nmax}], x] // Drop[#, 7] &

Crossrefs

Cf. A000079, A023359, A073267, A151759, A151760, A151761, A151762, A209229, A342247, A342251, A342252, A342254.

Sequence in context: A205864 A162818 A024966 * A226252 A340963 A022602

Adjacent sequences: A342247 A342248 A342249 * A342251 A342252 A342253

Keyword

nonn,look

Author

Ilya Gutkovskiy, Mar 07 2021

Status

approved