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A245941 (16n^6 - 24n^5 + 2n^4 + 11n^3 - 6n^2 + n) / 6. 2
0, 0, 59, 1040, 7014, 29580, 94105, 247884, 570220, 1184424, 2271735, 4087160, 6977234, 11399700, 17945109, 27360340, 40574040, 58723984, 83186355, 115606944, 157934270, 212454620, 281829009, 369132060, 477892804, 612137400, 776433775, 975938184, 1216443690 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

For n > 0: a(n) = A245826(2*n-1,n), central terms of triangle A245826.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

FORMULA

G.f.: -x^2*(4*x^4+257*x^3+973*x^2+627*x+59) / (x-1)^7. - Colin Barker, Aug 08 2014

a(n) = (n-1)*n*(2*n-1)*(8*n^3-3*n+1)/6. [Bruno Berselli, Aug 08 2014]

a(0)=0, a(1)=0, a(2)=59, a(3)=1040, a(4)=7014, a(5)=29580, a(6)=94105, a(n)=7*a(n-1)-21*a(n-2)+35*a(n-3)-35*a(n-4)+21*a(n-5)-7*a(n-6)+a(n-7). - Harvey P. Dale, Apr 13 2015

MAPLE

A245941:=n->(16*n^6-24*n^5+2*n^4+11*n^3-6*n^2+n)/6: seq(A245941(n), n=0..30); # Wesley Ivan Hurt, Aug 09 2014

MATHEMATICA

Table[(16 n^6 - 24 n^5 + 2 n^4 + 11 n^3 - 6 n^2 + n)/6, {n, 0, 30}] (* Vincenzo Librandi, Aug 09 2014 *)

LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {0, 0, 59, 1040, 7014, 29580, 94105}, 30] (* Harvey P. Dale, Apr 13 2015 *)

PROG

(Haskell)

a245941 n = n * (16*n^5 - 24*n^4 + 2*n^3 + 11*n^2 - 6*n + 1) `div` 6

(PARI)

concat([0, 0], Vec(-x^2*(4*x^4+257*x^3+973*x^2+627*x+59)/(x-1)^7 + O(x^100))) \\ Colin Barker, Aug 08 2014

(Magma) [(16*n^6-24*n^5+2*n^4+11*n^3-6*n^2+n)/6: n in [0..30]] // Vincenzo Librandi, Aug 09 2014

CROSSREFS

Sequence in context: A093259 A336576 A248974 * A248620 A210398 A278366

Adjacent sequences:  A245938 A245939 A245940 * A245942 A245943 A245944

KEYWORD

nonn,easy

AUTHOR

Reinhard Zumkeller, Aug 07 2014

STATUS

approved

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Last modified September 29 01:05 EDT 2022. Contains 357082 sequences. (Running on oeis4.)