A173303 - OEIS

%I #6 Aug 10 2018 02:23:29

%S 1,2,3,6,9,14,21,32,45,65,90,125,170,231,307,411,539,707,917,1188,

%T 1522,1950,2475,3137,3949,4962,6195,7725,9579,11856,14610,17971,22012,

%U 26919,32798,39892,48367,58541,70647,85123,102291,122724,146891,175545,209322

%N Row sums of triangle A173302.

%C Each term is a sum of partition numbers.

%H Andrew Howroyd, <a href="/A173303/b173303.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = Sum_{k >=0, 2^k <= n + 1} A000041(n + 1 - 2^k). - _Andrew Howroyd_, Aug 10 2018

%e a(7) = 32 = (1 + 5 + 11 + 15), = p(0) + p(4) + p(6) + p(7).

%o (PARI) a(n) = sum(k=0, logint(n+1, 2), numbpart(n + 1 - 2^k)) \\ _Andrew Howroyd_, Aug 10 2018

%Y Row sums of A173302.

%Y Cf. A000041, A173304.

%K nonn

%O 0,2

%A _Gary W. Adamson_, Feb 15 2010

%E Terms a(21) and beyond from _Andrew Howroyd_, Aug 10 2018