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Triangle of coefficients of Euler polynomials rescaled to integers by multiplication with 2^(binary carry sequence = A007814).

+0
4

1, -1, 2, 0, -1, 1, 1, 0, -6, 4, 0, 1, 0, -2, 1, -1, 0, 5, 0, -5, 2, 0, -3, 0, 5, 0, -3, 1, 17, 0, -84, 0, 70, 0, -28, 8, 0, 17, 0, -28, 0, 14, 0, -4, 1, -31, 0, 153, 0, -126, 0, 42, 0, -9, 2, 0, -155, 0, 255, 0, -126, 0, 30, 0, -5, 1, 691, 0, -3410, 0, 2805, 0, -924, 0, 165, 0, -22, 4, 0, 2073, 0, -3410, 0, 1683, 0, -396, 0, 55, 0, -6 (list; table; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Sums of even rows are A002425, sums of odd rows are 0, first element of even rows is -row sum, first element of row[2^p]= second element of row[1+2^p], LCM of numerators of Euler-polynomial coefficients is A007814.`
	FORMULA	`Table[CoefficientList[EulerE[n, x]2^A007814[n+1], x], {n, 0, 12}]`
	CROSSREFS	`Cf. A007814, A002425.` `Sequence in context: A131341 A074169 A099362 this_sequence A141684 A152492 A075446` `Adjacent sequences: A058937 A058938 A058939 this_sequence A058941 A058942 A058943`
	KEYWORD	`tabl,nice,sign`
	AUTHOR	`Wouter Meeussen (wouter.meeussen(AT)pandora.be), Jan 12 2001`

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Last modified March 19 13:18 EDT 2010. Contains 173632 sequences.

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