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A143690 A007318 * [1, 6, 14, 9, 0, 0, 0,...]. 4
1, 7, 27, 70, 145, 261, 427, 652, 945, 1315, 1771, 2322, 2977, 3745, 4635, 5656, 6817, 8127, 9595, 11230, 13041, 15037, 17227, 19620, 22225, 25051, 28107, 31402, 34945, 38745, 42811, 47152, 51777, 56695, 61915, 67446, 73297, 79477, 85995, 92860 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of [1, 6, 14, 9, 0, 0, 0,...]. Equals row sums of triangle A033292.

LINKS

Table of n, a(n) for n=0..39.

FORMULA

G.f.: (1+3x+5x^2)/(1-x)^4. a(n)=A002412(n+1)+5*A000292(n-1). [R. J. Mathar, Aug 29 2008]

a(n) = A000326(n+1)+(n+1)*A000326(n). [Bruno Berselli, Jun 07 2013]

EXAMPLE

a(3) = 70 = (1, 3, 3, 1) dot (1, 6, 14, 9) = (1 + 18 + 42 + 9). a(3) = 70 = sum of row 3 terms of triangle A033292: (13 + 16 + 19, + 22).

CROSSREFS

Cf. A033292.

Cf. A226449. [Bruno Berselli, Jun 09 2013]

Sequence in context: A265900 A159065 A098931 * A007715 A161439 A039623

Adjacent sequences:  A143687 A143688 A143689 * A143691 A143692 A143693

KEYWORD

nonn,easy

AUTHOR

Gary W. Adamson, Aug 29 2008

EXTENSIONS

Extended beyond a(14) by R. J. Mathar, Aug 29 2008

STATUS

approved

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Last modified January 23 19:45 EST 2020. Contains 331175 sequences. (Running on oeis4.)