id:A143278 - OEIS Search Results

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Convolution of A006352 and A010815.

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1, -25, -49, 0, 0, 121, 0, 169, 0, 0, 0, 0, -289, 0, 0, -361, 0, 0, 0, 0, 0, 0, 529, 0, 0, 0, 625, 0, 0, 0, 0, 0, 0, 0, 0, -841, 0, 0, 0, 0, -961, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1225, 0, 0, 0, 0, 0, 1369, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1681, 0, 0, 0, 0, 0, 0, -1849, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; listen)

	OFFSET	`0,2`
	REFERENCES	`S. Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 188`
	FORMULA	`Expansion of product of f(-q) * P(q) where f(), P() are Ramanujan series.` `G.f.: Sum_{k} (-1)^k * (6k - 1)^2 x^(k * (3k - 1) / 2).` `G.f.: (Sum_{k} (-1)^k x^(k * (3k - 1) / 2)) (1 - 24 * Sum_{k>0} k * x^k / (1 -x^k)).`
	EXAMPLE	`q - 25q^25 - 49q^49 + 121q^121 + 169q^169 - 289q^289 - 361q^361 + ...`
	PROGRAM	`(PARI) {a(n) = local(m); if(issquare(n = 24n+1, &m), n kronecker(12, m))}`
	CROSSREFS	`Sequence in context: A038811 A028505 A154082 this_sequence A106632 A090093 A004936` `Adjacent sequences: A143275 A143276 A143277 this_sequence A143279 A143280 A143281`
	KEYWORD	`sign`
	AUTHOR	`Michael Somos, Aug 04 2008`

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

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