id:A134659 - OEIS Search Results

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Total number of odd coefficients in (1+x+x^2)^k for k=0,...,n-1.

+0
1

1, 4, 7, 12, 15, 24, 29, 40, 43, 52, 61, 76, 81, 96, 107, 128, 131, 140, 149, 164, 173, 200, 215, 248, 253, 268, 283, 308, 319, 352, 373, 416, 419, 428, 437, 452, 461, 488, 503, 536, 545, 572, 599, 644, 659, 704, 737, 800, 805, 820, 835, 860, 875, 920, 945, 1000 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(n) = Sum_{k<n} A071053(k)`
	LINKS	`S. Finch, P. Sebah and Z.-Q. Bai, Odd Entries in Pascal's Trinomial Triangle (arXiv:0802.2654)`
	MATHEMATICA	`Sum[PolynomialMod[(1+x+x^2)^k, 2] /. x->1, {k, 0, n-1}]`
	CROSSREFS	`Cf. A001316, A006046, A027907, A071053.` `Adjacent sequences: A134656 A134657 A134658 this_sequence A134660 A134661 A134662` `Sequence in context: A026360 A047535 A061503 this_sequence A075624 A008333 A076295`
	KEYWORD	`nonn`
	AUTHOR	`Steven Finch (Steven.Finch(AT)inria.fr), Jan 25 2008`

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Last modified January 8 02:43 EST 2009. Contains 152824 sequences.

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