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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Each term is a sum of partition numbers.

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..1000

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.

Cf. A000041, A173304.

Sequence in context: A194627 A320595 A227564 * A308251 A058609 A128518

Adjacent sequences:  A173300 A173301 A173302 * A173304 A173305 A173306

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Feb 15 2010

EXTENSIONS

Terms a(21) and beyond from Andrew Howroyd, Aug 10 2018

STATUS

approved

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Last modified November 20 02:34 EST 2019. Contains 329323 sequences. (Running on oeis4.)