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A059600
Expansion of (1+6*x+x^2)/(1-x)^8.
1
1, 14, 85, 344, 1086, 2892, 6798, 14520, 28743, 53482, 94523, 159952, 260780, 411672, 631788, 945744, 1384701, 1987590, 2802481, 3888104, 5315530, 7170020, 9553050, 12584520, 16405155, 21179106, 27096759
OFFSET
0,2
COMMENTS
a(n)= A038164(2*n).
FORMULA
a(n)= binomial(n+5, 5)*(4*n^2+24*n+21)/21.
G.f.: (1+6*x+x^2)/(1-x)^8.
MATHEMATICA
CoefficientList[Series[(1+6x+x^2)/(1-x)^8, {x, 0, 30}], x] (* or *) LinearRecurrence[ {8, -28, 56, -70, 56, -28, 8, -1}, {1, 14, 85, 344, 1086, 2892, 6798, 14520}, 30] (* Harvey P. Dale, Aug 18 2024 *)
CROSSREFS
Sequence in context: A025607 A272103 A244865 * A206621 A372148 A213121
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Feb 02 2001.
STATUS
approved