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A128091 Row sums of unsigned A128090. 1
1, 8, 45, 160, 425, 936, 1813, 3200, 5265, 8200, 12221, 17568, 24505, 33320, 44325, 57856, 74273, 93960, 117325, 144800, 176841, 213928, 256565, 305280, 360625, 423176, 493533, 572320, 660185, 757800, 865861, 985088, 1116225, 1260040, 1417325 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..35.

Index entries for linear recurrences with constant coefficients, signature (5, -10, 10, -5, 1).

FORMULA

Row sums of unsigned triangle A128090 a(n) = (n-1)*A045991(n) + n^2

a(n) = n^2*(n^2 - 2*n + 2) = A000290(n)*A002522(n-1). - Philippe Deléham, Mar 16 2014

G.f.: x*(1 + 3*x + 15*x^2 + 5*x^3)/(1-x)^5. - Philippe Deléham, Mar 16 2014

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3 - 5*a(n-4) + a(n-5), a(1) = 1, a(2) = 8, a(3) = 45, a(4) = 160, a(5) = 425. - Philippe Deléham, Mar 16 2014

EXAMPLE

a(4) = 160 = sum of row 4 terms of A128090: (48 + 48 + 48 + 16) = 3*A045991(4) + 4^2; where A045991 = (0, 0, 4, 18, 48, 100,...).

CROSSREFS

Cf. A000290, A002522, A128077, A128090, A045991.

Sequence in context: A210378 A247534 A100648 * A119950 A055367 A273242

Adjacent sequences:  A128088 A128089 A128090 * A128092 A128093 A128094

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Feb 14 2007

EXTENSIONS

a(10)-a(35) from Philippe Deléham, Mar 16 2014

STATUS

approved

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Last modified November 22 06:15 EST 2019. Contains 329389 sequences. (Running on oeis4.)