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A129936 (n-2)*(n+3)*(n+2)/6. 5
-2, -2, 0, 5, 14, 28, 48, 75, 110, 154, 208, 273, 350, 440, 544, 663, 798, 950, 1120, 1309, 1518, 1748, 2000, 2275, 2574, 2898, 3248, 3625, 4030, 4464, 4928, 5423, 5950, 6510, 7104, 7733, 8398, 9100, 9840, 10619, 11438, 12298, 13200, 14145, 15134, 16168, 17248 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Essentially the same as A005586.

LINKS

Table of n, a(n) for n=0..46.

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

a(n) = binomial(n + 3, 3) - (n + 3)*(n + 2)/2.

a(n) = A214292(n+2,2). - Reinhard Zumkeller, Jul 12 2012

G.f.: (x^3-4*x^2+6*x-2)/(x-1)^4. - Colin Barker, Sep 05 2012

a(n) = sum_{i=1..n+2} i*(n-i+1). - Wesley Ivan Hurt, Sep 21 2013

a(n+2) = A000292(n+1) + A034856(n), n>0. - Wesley Ivan Hurt, Sep 21 2013

MAPLE

seq(sum(i*(k-i+1), i=1..k+2), k=0..99); # Wesley Ivan Hurt, Sep 21 2013

MATHEMATICA

f[n_] = Binomial[n + 3, 3] - (n + 3)*(n + 2)/2; Table[f[n], {n, 0, 30}]

PROG

(PARI) a(n)=(n-2)*(n+3)*(n+2)/6 \\ Charles R Greathouse IV, Oct 07 2015

CROSSREFS

Cf. A000292, A034856, A214292.

Sequence in context: A100334 A277295 A254749 * A253180 A295214 A221408

Adjacent sequences:  A129933 A129934 A129935 * A129937 A129938 A129939

KEYWORD

easy,sign

AUTHOR

Roger L. Bagula, Jun 09 2007

EXTENSIONS

More terms from Wesley Ivan Hurt, Sep 21 2013

STATUS

approved

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Last modified October 23 03:21 EDT 2018. Contains 316519 sequences. (Running on oeis4.)