

A087750


Number of partitions of n into numbers having in binary representation at most trailing zeros.


0



1, 2, 3, 5, 6, 10, 13, 19, 24, 33, 41, 56, 68, 90, 111, 143, 172, 219, 263, 328, 392, 483, 573, 700, 823, 993, 1166, 1396, 1626, 1936, 2249, 2655, 3070, 3603, 4151, 4848, 5562, 6461, 7395, 8548, 9741, 11219, 12754, 14624, 16578, 18943, 21415, 24388
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OFFSET

1,2


COMMENTS

a(n) <= A000041(n), a(n) < A000041(n) for n >= 5 > '101'.


LINKS

Table of n, a(n) for n=1..48.
Eric Weisstein's World of Mathematics, Partition
Eric Weisstein's World of Mathematics, Partition Function P


EXAMPLE

n=8, the 8th partition number is 22: three (5+3, 5+2+1 and 5+1+1+1) do not count, as 5 = '101', therefore a(8)=19.


CROSSREFS

Cf. A023758, A007088.
Sequence in context: A018429 A035953 A195054 * A288253 A035959 A036801
Adjacent sequences: A087747 A087748 A087749 * A087751 A087752 A087753


KEYWORD

nonn


AUTHOR

Reinhard Zumkeller, Oct 02 2003


STATUS

approved



