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A213620 Triangle read by rows, coefficients of the Euler polynomials E_{n}(x) times A006519(n+1) in descending order of powers. 0
1, 2, -1, 1, -1, 0, 4, -6, 0, 1, 1, -2, 0, 1, 0, 2, -5, 0, 5, 0, -1, 1, -3, 0, 5, 0, -3, 0, 8, -28, 0, 70, 0, -84, 0, 17, 1, -4, 0, 14, 0, -28, 0, 17, 0, 2, -9, 0, 42, 0, -126, 0, 153, 0, -31, 1, -5, 0, 30, 0, -126, 0, 255, 0, -155, 0, 4, -22, 0, 165, 0, -924 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..71.

EXAMPLE

e(0,x) = 1,

e(1,x) = 2*x^1 - 1,

e(2,x) =   x^2 -   x^1,

e(3,x) = 4*x^3 - 6*x^2  + 1,

e(4,x) =   x^4 - 2*x^3  +   x^1,

e(5,x) = 2*x^5 - 5*x^4  + 5*x^2  - 1.

MAPLE

seq(seq(coeff(2^padic[ordp](i+1, 2)*euler(i, x), x, i-j), j=0..i), i=0..11);

MATHEMATICA

Table[ CoefficientList[ EulerE[n, x]*2^IntegerExponent[n+1, 2], x] // Reverse, {n, 0, 11}] // Flatten (* Jean-Fran├žois Alcover, May 21 2013 *)

CROSSREFS

Sequence in context: A153462 A126310 A109086 * A331734 A105794 A316866

Adjacent sequences:  A213617 A213618 A213619 * A213621 A213622 A213623

KEYWORD

sign,tabl

AUTHOR

Peter Luschny, Jun 16 2012

STATUS

approved

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Last modified April 5 12:52 EDT 2020. Contains 333241 sequences. (Running on oeis4.)