|
|
A058940
|
|
Triangle of coefficients of Euler polynomials rescaled to integers by multiplication with 2^(binary carry sequence (A007814)).
|
|
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;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
COMMENTS
|
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) is second element of row(1+2^p), LCM of numerators of Euler polynomial coefficients is A007814.
|
|
LINKS
|
|
|
FORMULA
|
T(n, k) = [x^k] E(n, x)*2^A007814(n+1).
|
|
MAPLE
|
A058940_row := proc(n) local i; seq(coeff(euler(n, x)*2^padic[ordp](n+1, 2), x, i), i=0..n) end: # Peter Luschny, Nov 26 2010
|
|
MATHEMATICA
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|