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A163295 Binary order of n plus number of partitions of n-1. 0
1, 2, 4, 5, 8, 10, 14, 18, 26, 34, 46, 60, 81, 105, 139, 180, 236, 302, 390, 495, 632, 797, 1007, 1260, 1580, 1963, 2441, 3015, 3723, 4570, 5609, 6847, 8355, 10149, 12316, 14889, 17983, 21643, 26021, 31191, 37344, 44589, 53180, 63267, 75181, 89140 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

where binary order of n: log_2(n) rounded up to next integer (A029837) and number of partition of n: the partition numbers (A000041).

FORMULA

a(n)=A029837(n)+A000041(n-1).

EXAMPLE

a(6)=10=3+7. a(7)=14=3+11. a(8)=18=3+15. a(9)=26=4+22.

CROSSREFS

Cf. A000041, A029837.

Sequence in context: A190809 A067941 A092265 * A101274 A080222 A050539

Adjacent sequences:  A163292 A163293 A163294 * A163296 A163297 A163298

KEYWORD

nonn,less

AUTHOR

Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jul 24 2009

EXTENSIONS

Indices in formula and definition corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 21 2010

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Last modified February 14 11:36 EST 2012. Contains 205623 sequences.