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A073740 Self-convolution of A073739; odd terms are twice the odd primes. +0
2
1, 2, 3, 6, 5, 10, 10, 14, 20, 22, 39, 26, 64, 34, 104, 38, 152, 46, 225, 58, 308, 62, 434, 74, 556, 82, 763, 86, 936, 94, 1224, 106, 1488, 118, 1857, 122, 2244, 134, 2706, 142, 3232, 146, 3827, 158, 4472, 166, 5240, 178, 6020, 194, 6997, 202, 7936, 206, 9122 (list; graph; listen)
OFFSET

0,2

COMMENT

The first odd prime is here considered to be p_0 = 1.

FORMULA

a(0)=1, a(2n+1)=2*p_n, a(2n)=sum_{k=0..2n}A073739(k)*A073739(2n-k).

EXAMPLE

a(9)= 2*p_4= 22; a(8)= 1*0+1*4+1*0+2*3+0*0+3*2+0*1+4*1+0*1= 20.

CROSSREFS

Cf. A036467, A073739.

Sequence in context: A064923 A064924 A055944 this_sequence A077320 A019565 A133477

Adjacent sequences: A073737 A073738 A073739 this_sequence A073741 A073742 A073743

KEYWORD

easy,nice,nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Aug 07 2002

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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