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A061803 Sum of n-th row of triangle of 4th powers: 1; 1 16 1; 1 16 81 16 1; 1 16 81 256 81 16 1; ... 2
1, 18, 115, 452, 1333, 3254, 6951, 13448, 24105, 40666, 65307, 100684, 149981, 216958, 305999, 422160, 571217, 759714, 995011, 1285332, 1639813, 2068550, 2582647, 3194264, 3916665, 4764266, 5752683, 6898780, 8220717, 9737998 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,1000

Index entries for linear recurrences with constant coefficients, signature (6, -15, 20, -15, 6, -1).

FORMULA

a(n) = n(6n^4 + 10n^2 - 1)/15. - Dean Hickerson, Jun 06 2001

G.f.: x*(1+x)^2*(1+10*x+x^2)/(1-x)^6. - Colin Barker, Apr 20 2012

EXAMPLE

a(3) = 115 = 1 + 16 + 81 + 16 + 1

MATHEMATICA

Table[Total[2Range[n-1]^4]+n^4, {n, 30}] (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {1, 18, 115, 452, 1333, 3254}, 30] (* Harvey P. Dale, Aug 23 2016 *)

PROG

(PARI) { for (n=1, 1000, write("b061803.txt", n, " ", n*(6*n^4 + 10*n^2 - 1)/15) ) } \\ Harry J. Smith, Jul 28 2009

CROSSREFS

Sequence in context: A125328 A126486 A251937 * A207103 A101089 A022678

Adjacent sequences:  A061800 A061801 A061802 * A061804 A061805 A061806

KEYWORD

nonn,easy

AUTHOR

Amarnath Murthy, May 28 2001

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org) and Jason Earls, May 28 2001

STATUS

approved

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Last modified May 20 03:10 EDT 2019. Contains 323412 sequences. (Running on oeis4.)