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A144577
Numerators of expansion of exp(1-sqrt(1-x-2*x^2)).
2
1, 1, 5, 55, 757, 4973, 194671, 842411, 11218933, 3358395757, 115106092471, 2189182968473, 7379994323497, 1699615680368861, 19346973713722411, 23008945996332629551, 1335947317588460238301, 8289679255721758160317, 1095056665754286849584771
OFFSET
0,3
LINKS
FORMULA
A144577/A144578 is D-finite with recurrence 64*b(n) + 48*b(n+1) + (32*n^2 + 96*n + 76)*b(n+2) + (24*n^2 + 120*n + 145)*b(n+3) + (-12*n^2 - 66*n - 72)*b(n+4) + (-4*n^2 - 36*n - 80)*b(n+5)=0. - Robert Israel, Feb 07 2019
EXAMPLE
1 + (1/2)*x + (5/4)*x^2 + (55/48)*x^3 + (757/384)*x^4 + (4973/1920)*x^5 + (...
MAPLE
S:= series(exp(1-sqrt(1-x-2*x^2), x, 31):
seq(numer(coeff(S, x, n)), n=0..30); # Robert Israel, Feb 07 2019
CROSSREFS
Cf. A144578.
Sequence in context: A292805 A112019 A131846 * A234508 A132865 A294051
KEYWORD
nonn,frac
AUTHOR
N. J. A. Sloane, Jan 07 2009
STATUS
approved