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A173303
Row sums of triangle A173302.
3
1, 2, 3, 6, 9, 14, 21, 32, 45, 65, 90, 125, 170, 231, 307, 411, 539, 707, 917, 1188, 1522, 1950, 2475, 3137, 3949, 4962, 6195, 7725, 9579, 11856, 14610, 17971, 22012, 26919, 32798, 39892, 48367, 58541, 70647, 85123, 102291, 122724, 146891, 175545, 209322
OFFSET
0,2
COMMENTS
Each term is a sum of partition numbers.
LINKS
FORMULA
a(n) = Sum_{k >=0, 2^k <= n + 1} A000041(n + 1 - 2^k). - Andrew Howroyd, Aug 10 2018
EXAMPLE
a(7) = 32 = (1 + 5 + 11 + 15), = p(0) + p(4) + p(6) + p(7).
PROG
(PARI) a(n) = sum(k=0, logint(n+1, 2), numbpart(n + 1 - 2^k)) \\ Andrew Howroyd, Aug 10 2018
CROSSREFS
Row sums of A173302.
Sequence in context: A194627 A320595 A227564 * A308251 A058609 A333697
KEYWORD
nonn
AUTHOR
Gary W. Adamson, Feb 15 2010
EXTENSIONS
Terms a(21) and beyond from Andrew Howroyd, Aug 10 2018
STATUS
approved