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A319922 Number of ways of writing n as a sum of exactly 10 powers of 2. 2
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 4, 4, 5, 6, 5, 6, 6, 7, 8, 9, 8, 10, 9, 10, 11, 13, 11, 14, 12, 13, 12, 15, 12, 16, 14, 16, 14, 18, 15, 19, 17, 21, 18, 22, 17, 22, 18, 22, 19, 25, 19, 24, 20, 25, 21, 28, 21, 27, 21, 26, 19, 27, 20, 26, 19 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,14

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..65536

FORMULA

a(n) = [x^n y^10] 1/Product_{j>=0} (1-y*x^(2^j)).

MAPLE

h:= proc(n) option remember; `if`(n<1, 0,

      `if`(n=2^ilog2(n), n, h(n-1)))

    end:

b:= proc(n, i, k) option remember; `if`(n=0, `if`(k=0, 1, 0), `if`(

      k>n or i*k<n, 0, b(n, h(i-1), k)+b(n-i, h(min(n-i, i)), k-1)))

    end:

a:= n-> b(n, h(n), 10):

seq(a(n), n=0..120);

CROSSREFS

Column k=10 of A089052.

Cf. A000079.

Sequence in context: A303003 A063124 A070547 * A289139 A094838 A025768

Adjacent sequences:  A319919 A319920 A319921 * A319923 A319924 A319925

KEYWORD

nonn,look

AUTHOR

Alois P. Heinz, Oct 01 2018

STATUS

approved

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Last modified November 21 11:35 EST 2019. Contains 329370 sequences. (Running on oeis4.)