A061318 Column 3 of A061314.

0, 4, 40, 304, 1720, 7480, 26404, 79240, 209304, 499140, 1095160, 2242504, 4332640, 7966504, 14036260, 23829040, 39156304, 62512740, 97268904, 147902080, 220270120, 321933304, 462529540, 654208504, 912130600, 1255036900, 1705896504, 2292638040, 3048972304, 4015313320

Offset

0,2

Links

Table of n, a(n) for n=0..29.

Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1)

Formula

a(n) = A061316(n) + A006007(n)^2 = 4*A061319(n).

G.f. -4*x*(1+x+22*x^2+22*x^3+22*x^4+x^5+x^6)/(x-1)^9. - R. J. Mathar, Aug 11 2012

Mathematica

CoefficientList[Series[-4x (1+x+22x^2+22x^3+22x^4+x^5+x^6)/(x-1)^9, {x, 0, 30}], x] (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {0, 4, 40, 304, 1720, 7480, 26404, 79240, 209304}, 30] (* Harvey P. Dale, Jul 04 2023 *)

Crossrefs

Cf. A006007, A061314, A061316, A061319.

Sequence in context: A215701 A366667 A212699 * A277652 A190541 A298198

Adjacent sequences: A061315 A061316 A061317 * A061319 A061320 A061321

Keyword

nonn,easy

Author

Henry Bottomley, Apr 24 2001

Extensions

a(25)-a(29) from Stefano Spezia, Aug 31 2023

Status

approved