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A144335 Row sums of triangle A144334, binomial transform of [1, 2, 6, 7, 3, 0, 0, 0,...] 1
1, 3, 11, 32, 76, 156, 288, 491, 787, 1201, 1761, 2498, 3446, 4642, 6126, 7941, 10133, 12751, 15847, 19476, 23696, 28568, 34156, 40527, 47751, 55901, 65053, 75286, 86682, 99326, 113306, 128713, 145641, 164187, 184451, 206536, 230548, 256596 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..38.

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

FORMULA

G.f.: (1-2x+6x^2-3x^3+x^4)x/(1-x)^5. a(n) = 1 -5n/12 +3n^2/8 -n^3/12 +n^4/8. [From R. J. Mathar, Sep 18 2008]

EXAMPLE

a(5) = 76 = (1, 4, 6, 4, 1) dot (1, 2, 6, 3, 7) = (1 + 8 + 36, + 28 + 3).

a(3) = 11 = sum of row 3 terms of triangle A144334: (4 + 3 + 4).

MATHEMATICA

Table[1-5n/12+3n^2/8-n^3/12+n^4/8, {n, 40}] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {1, 3, 11, 32, 76}, 40] (* Harvey P. Dale, Aug 22 2016 *)

CROSSREFS

A144334

Sequence in context: A319335 A104079 A089620 * A202091 A120844 A110958

Adjacent sequences:  A144332 A144333 A144334 * A144336 A144337 A144338

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Sep 18 2008

EXTENSIONS

Extended by R. J. Mathar, Sep 18 2008

STATUS

approved

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Last modified January 19 09:35 EST 2020. Contains 331048 sequences. (Running on oeis4.)