OFFSET
1,1
LINKS
Eric Weisstein's World of Mathematics, Book Graph
Eric Weisstein's World of Mathematics, Graph Path
Index entries for linear recurrences with constant coefficients, signature (4, -6, 4, -1).
FORMULA
a(n) = 4*n^3 + n^2 + 6*n + 1.
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).
G.f.: x*(12 + x + 12*x^2 - x^3)/(-1 + x)^4.
MATHEMATICA
Table[4 n^3 + n^2 + 6 n + 1, {n, 20}]
LinearRecurrence[{4, -6, 4, -1}, {12, 49, 136, 297}, 20]
CoefficientList[Series[(12 + x + 12 x^2 - x^3)/(-1 + x)^4, {x, 0, 20}], x]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Eric W. Weisstein, May 06 2019
STATUS
approved