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A244883 Expansion of (1+6*x+16*x^2+8*x^3+x^4)/(1-x)^8. 1
1, 14, 100, 472, 1691, 4988, 12744, 29160, 61149, 119482, 220220, 386464, 650455, 1056056, 1661648, 2543472, 3799449, 5553510, 7960468, 11211464, 15540019, 21228724, 28616600, 38107160, 50177205, 65386386, 84387564, 107938000, 136911407, 172310896, 215282848 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Todd Silvestri, Table of n, a(n) for n = 0..10000

R. P. Stanley, Examples of Magic Labelings, Unpublished Notes, 1973 [Cached copy, with permission]

Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

FORMULA

a(n) = ((n+1)*(n+2)*(n+3)*(n*(n+4)*(n*(16*n+57)+137)+420))/2520. - Todd Silvestri, Nov 16 2014

MATHEMATICA

a[n_Integer/; n>=0]:=((n+1) (n+2) (n+3) (n (n+4) (n (16 n+57)+137)+420))/2520 (* Todd Silvestri, Nov 16 2014 *)

CoefficientList[Series[(1 + 6 x + 16 x^2 + 8 x^3 + x^4) / (1 - x)^8, {x, 0, 100}], x] (* Vincenzo Librandi, Nov 16 2014 *)

PROG

(MAGMA) [((n+1)*(n+2)*(n+3)*(n*(n+4)*(n*(16*n+57)+137)+420))/2520: n in [0..40]]; // Vincenzo Librandi, Nov 16 2014

CROSSREFS

Sequence in context: A099193 A086951 A041370 * A055913 A283805 A005757

Adjacent sequences:  A244880 A244881 A244882 * A244884 A244885 A244886

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jul 08 2014

STATUS

approved

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Last modified February 17 10:59 EST 2019. Contains 320219 sequences. (Running on oeis4.)