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A163295 Binary order of n plus number of partitions of n-1. 1

%I #11 Dec 18 2016 01:35:38

%S 1,2,4,5,8,10,14,18,26,34,46,60,81,105,139,180,236,302,390,495,632,

%T 797,1007,1260,1580,1963,2441,3015,3723,4570,5609,6847,8355,10149,

%U 12316,14889,17983,21643,26021,31191,37344,44589,53180,63267,75181,89140

%N Binary order of n plus number of partitions of n-1.

%H G. C. Greubel, <a href="/A163295/b163295.txt">Table of n, a(n) for n = 1..1000</a>

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

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

%t Table[Ceiling[Log[2,n]]+PartitionsP[n-1],{n,50}] (* _Harvey P. Dale_, Oct 20 2012 *)

%Y Cf. A000041 (number of partitions), A029837 (binary order).

%K nonn,less

%O 1,2

%A _Juri-Stepan Gerasimov_, Jul 24 2009

%E Indices in formula and definition corrected by _R. J. Mathar_, May 21 2010

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Last modified April 18 06:24 EDT 2024. Contains 371769 sequences. (Running on oeis4.)