A213829 Principal diagonal of the convolution array A213828.

2, 28, 114, 296, 610, 1092, 1778, 2704, 3906, 5420, 7282, 9528, 12194, 15316, 18930, 23072, 27778, 33084, 39026, 45640, 52962, 61028, 69874, 79536, 90050, 101452, 113778, 127064, 141346, 156660, 173042

Offset

1,1

Links

Clark Kimberling, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Formula

a(n) = 2*(n - 3*n^2 + 3*n^3).

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).

G.f.: f(x)/g(x), where f(x) = 2*x*(1 + 10*x + 7*x^2) and g(x) = (1-x)^4.

Mathematica

(See A213828.)

Crossrefs

Cf. A213828.

Sequence in context: A281201 A051958 A123807 * A164834 A174707 A110241

Adjacent sequences: A213826 A213827 A213828 * A213830 A213831 A213832

Keyword

nonn,easy

Author

Clark Kimberling, Jul 04 2012

Status

approved