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A052467 Binomial transform of {b(n)}, where b(n)=1 for prime n and b(n)=0 otherwise. +0
5
0, 1, 3, 6, 11, 20, 37, 70, 134, 255, 476, 869, 1564, 2821, 5201, 9948, 19793, 40562, 84271, 174952, 359576, 728805, 1457402, 2885051, 5681277, 11185110, 22103926, 43939533, 87864092, 176447165, 354929146, 713198803, 1428312446, 2846268351 (list; graph; listen)
OFFSET

1,3

COMMENT

Number of compositions of n into a prime number of parts. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 31 2005

The number of pernicious numbers (A052294) between 2^(n-1) and 2^n. Although the graph looks almost like 2^n, the graph of a(n)/2^n has quite a bit of variation. - T. D. Noe, Mar 14 2009

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

CROSSREFS

Cf. A038499.

Cf. A121497

Sequence in context: A018075 A125896 A094989 this_sequence A006127 A122106 A007707

Adjacent sequences: A052464 A052465 A052466 this_sequence A052468 A052469 A052470

KEYWORD

nonn

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

EXTENSIONS

More terms from David Wasserman (dwasserm(AT)earthlink.net), Feb 25 2002

Description corrected by T. D. Noe (noe(AT)sspectra.com), May 17 2003

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Last modified December 5 08:23 EST 2009. Contains 170348 sequences.


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