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A161993 A006005 convolved with all of its regularly "aerated" variants. 1
1, 3, 8, 19, 43, 85, 171, 315, 580, 1022, 1766, 2982, 4959 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Refer to A161779 for the analogous sequence based on the factorials.

Given A006005 (1 together with the odd primes = odd noncomposite numbers) = a, then b = the aerated variant: (1, 0, 3, 0, 5, 0, 7,...); c = (1, 0, 0, 3, 0, 0, 5,...) and so on such that A161993 = the infinite convolution product: a*b*c*...

CROSSREFS

A006005, A161779

Sequence in context: A079583 A099050 A065352 * A008466 A102712 A054480

Adjacent sequences:  A161990 A161991 A161992 * A161994 A161995 A161996

KEYWORD

nonn

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 24 2009

EXTENSIONS

Definition and comment corrected by Omar E. Pol, Aug 18 2011

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Last modified February 17 13:28 EST 2012. Contains 206031 sequences.