A111926 - OEIS

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A111926

Expansion of x^4/((1-2*x)*(x^2-x+1)*(x-1)^2).

0, 0, 0, 0, 1, 5, 15, 36, 78, 162, 331, 671, 1353, 2718, 5448, 10908, 21829, 43673, 87363, 174744, 349506, 699030, 1398079, 2796179, 5592381, 11184786, 22369596, 44739216, 89478457, 178956941, 357913911, 715827852, 1431655734, 2863311498 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,6`
	COMMENTS	`Binomial transform of sequence (0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0). Note: the binomial transform of the sequence (0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0) is A111927; the binomial transform of the sequence (0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0) is A024495 (disregarding first two terms, which are both zero).`
	LINKS	`Table of n, a(n) for n=0..33.`
	FORMULA	`a(n+2) - a(n+1) + a(n) = A000295(n) = 2^n - n - 1 (Eulerian numbers); a(n) = 1/32^n-n+2/3(1/2+1/2Isqrt(3))^n(-1/4-1/4Isqrt(3))+2/3(1/2-1/2Isqrt(3))^n(-1/4+1/4I*sqrt(3))`
	PROG	`Floretion Algebra Multiplication Program, FAMP Code: -4ibaseisumseq[ + .5'i + .5'j + .5'k + .5'ij' + .5'jk' + .5'ki' + e], sumtype: Y[8] = (int)Y[6] - (int)Y[7] + Y[8] + sum (internal program code).`
	CROSSREFS	`Cf. A000295, A111927, A024495.` `Sequence in context: A144898 A163250 A053808 * A137609 A109818 A146797` `Adjacent sequences: A111923 A111924 A111925 * A111927 A111928 A111929`
	KEYWORD	`easy,nonn`
	AUTHOR	`Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Aug 21 2005`
	STATUS	`approved`

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Last modified May 21 11:11 EDT 2013. Contains 225478 sequences.