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A079945 Partial sums of A079882. +0
6
1, 3, 4, 5, 7, 9, 10, 11, 12, 13, 15, 17, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 33, 35, 37, 39, 41, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103 (list; graph; listen)
OFFSET

0,2

LINKS

R. Stephan, Some divide-and-conquer sequences ...

R. Stephan, Table of generating functions

FORMULA

See A080596 for an explicit formula.

a(n) = (3*n+3-2^(A000523((n+2)/2))-(-1)^A079944(n)*(n+3-3*2^(A000523((n+2)/2))))/2. - Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Feb 23 2003

Also a(n) = n+2^A000523((n+2)/2)*(1-3*A079944(n))+A079944(n)*(n+3) - Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Feb 23 2003

CROSSREFS

Apart from initial terms, same as A080596.

Sequence in context: A162610 A155935 A081606 this_sequence A039017 A153329 A047251

Adjacent sequences: A079942 A079943 A079944 this_sequence A079946 A079947 A079948

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Feb 21 2003

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.


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