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A094438 Triangular array T(n,k)=F(k+3)C(n,k), k=0,1,2,3,...,n; n>=0. 2
2, 2, 3, 2, 6, 5, 2, 9, 15, 8, 2, 12, 30, 32, 13, 2, 15, 50, 80, 65, 21, 2, 18, 75, 160, 195, 126, 34, 2, 21, 105, 280, 455, 441, 238, 55, 2, 24, 140, 448, 910, 1176, 952, 440, 89, 2, 27, 180, 672, 1638, 2646, 2856, 1980, 801, 144, 2, 30, 225, 960, 2730, 5292, 7140 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Let F(n) denote the n-th Fibonacci number (A000045). Then n-th row sum of T is F(2n+3) and n-th alternating row sum is F(n-3).

LINKS

Table of n, a(n) for n=1..62.

EXAMPLE

First four rows:

2

2 3

2 6 5

2 9 15 8 sum = 2+9+15+8=34=F(9); alt.sum = 2-9+15-8=0=-F(0).

T(3,2)=F(5)C(3,2)=5*3=15.

MATHEMATICA

Table[Fibonacci[k+3]Binomial[n, k], {n, 0, 10}, {k, 0, n}]//Flatten (* Harvey P. Dale, Dec 16 2017 *)

CROSSREFS

Cf. A000045, A094443, A094436, A094437.

Sequence in context: A290309 A095757 A144368 * A156098 A294933 A015996

Adjacent sequences:  A094435 A094436 A094437 * A094439 A094440 A094441

KEYWORD

nonn,easy,tabl

AUTHOR

Clark Kimberling, May 03 2004

STATUS

approved

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Last modified October 19 16:17 EDT 2019. Contains 328223 sequences. (Running on oeis4.)