

A319922


Number of ways of writing n as a sum of exactly 10 powers of 2.


6



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
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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} (1y*x^(2^j)).


MAPLE

h:= proc(n) option remember; `if`(n<1, 0,
`if`(n=2^ilog2(n), n, h(n1)))
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(i1), k)+b(ni, h(min(ni, i)), k1)))
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: A063124 A358901 A070547 * A289139 A094838 A025768
Adjacent sequences: A319919 A319920 A319921 * A319923 A319924 A319925


KEYWORD

nonn,look


AUTHOR

Alois P. Heinz, Oct 01 2018


STATUS

approved



