id:A073739 - OEIS Search Results

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Least positive integers whose convolution forms a sequence whose odd terms are twice the odd primes (see: A073740).

+0
2

1, 1, 1, 2, 0, 3, 0, 4, 0, 7, 0, 6, 0, 11, 0, 8, 0, 15, 0, 14, 0, 17, 0, 20, 0, 21, 0, 22, 0, 25, 0, 28, 0, 31, 0, 30, 0, 37, 0, 34, 0, 39, 0, 40, 0, 43, 0, 46, 0, 51, 0, 50, 0, 53, 0, 54, 0, 55, 0, 58, 0, 69, 0, 62, 0, 75, 0, 64, 0, 85, 0, 66 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`Partial sums form the primes (see: A036467).`
	FORMULA	`a(n) = p_n - p_{n-1} when n>1, where a(0)=a(1)=1.`
	EXAMPLE	`a(10) = p_10 +p_8 +p_6 +p_4 +p_2 +p_0 = 29 + 19 + 13 +7 +3 + 1 = 72.`
	CROSSREFS	`Cf. A036467, A073740.` `Sequence in context: A096234 A097852 A008801 this_sequence A046767 A115720 A053120` `Adjacent sequences: A073736 A073737 A073738 this_sequence A073740 A073741 A073742`
	KEYWORD	`easy,nice,nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Aug 07 2002`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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