A342252 Number of ways to write n as an ordered sum of nine powers of 2.

1, 9, 36, 93, 198, 378, 624, 927, 1341, 1849, 2412, 3159, 4074, 4950, 5904, 7032, 8010, 9018, 10488, 11970, 13356, 15108, 16848, 18315, 20085, 22257, 24444, 26671, 28674, 30510, 32208, 33282, 34974, 37590, 39384, 40986, 43668, 45468, 46512, 49620, 53298, 55890, 59304, 62442

Offset

9,2

Links

Table of n, a(n) for n=9..52.

Formula

G.f.: ( Sum_{k>=0} x^(2^k) )^9.

Mathematica

nmax = 52; CoefficientList[Series[Sum[x^(2^k), {k, 0, Floor[Log[2, nmax]] + 1}]^9, {x, 0, nmax}], x] // Drop[#, 9] &

Crossrefs

Cf. A000079, A023359, A073267, A151759, A151760, A151761, A151762, A209229, A342249, A342250, A342251, A342254.

Sequence in context: A173243 A162258 A128642 * A226253 A340965 A022604

Adjacent sequences: A342249 A342250 A342251 * A342253 A342254 A342255

Keyword

nonn

Author

Ilya Gutkovskiy, Mar 07 2021

Status

approved