OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (6,-6,-24,39,42,-72,-48,48,32).
FORMULA
G.f.: 1/((1+x)^4*(1-2*x)^5).
EXAMPLE
G.f.: A(x) = 1 + 6*x + 30*x^2 + 120*x^3 + 435*x^4 + 1446*x^5 + 4536*x^6 +...
such that
log(A(x))/6 = x + 4*x^2/2 + 6*x^3/3 + 14*x^4/4 + 26*x^5/5 + 54*x^6/6 + 106*x^7/7 + 214*x^8/8 +...+ A084214(n) * x^n/n +...
MATHEMATICA
CoefficientList[Series[1/((1+x)^4(1-2x)^5), {x, 0, 30}], x] (* or *) LinearRecurrence[{6, -6, -24, 39, 42, -72, -48, 48, 32}, {1, 6, 30, 120, 435, 1446, 4536, 13560, 39045}, 30] (* Harvey P. Dale, Aug 11 2021 *)
PROG
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Apr 25 2012
STATUS
approved