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A200073 Coefficients of a generalized Jaco-Lucas polynomial (odd indices) read by rows. 2
1, 4, 3, 11, 15, 5, 29, 56, 35, 7, 76, 189, 171, 66, 9, 199, 605, 715, 407, 110, 11, 521, 1872, 2730, 2054, 832, 169, 13, 1364, 5655, 9810, 9180, 4965, 1533, 245, 15, 3571, 16779, 33745, 37774, 25585, 10642, 2618, 340, 17, 9349, 49096, 112309, 146357, 119168, 62453, 20862, 4218, 456 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..53.

Y. Sun, Numerical Triangles and Several Classical Sequences, Fib. Quart. 43, no. 4, (2005) 359-370, Table 3.4.

FORMULA

T(n,k) = Sum_{j=0..n} (2n+1)*binomial(2n+1-j,j)*binomial(j,k)/(2n+1-j).

EXAMPLE

Triangle begins:

1,

4, 3,

11, 15, 5,

29, 56, 35, 7,

76, 189, 171, 66, 9,

...

MAPLE

A200073 := proc(n, k)

    (2*n+1)*add( binomial(2*n+1-j, j)*binomial(j, k)/(2*n+1-j), j=0..n) ;

end proc:

seq(seq(A200073(n, k), k=0..n), n=0..13) ; # R. J. Mathar, Nov 13 2011

CROSSREFS

Cf. A002878 (first column), A005408 (diagonal).

Sequence in context: A086564 A316966 A295727 * A080777 A001166 A065337

Adjacent sequences:  A200070 A200071 A200072 * A200074 A200075 A200076

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane, Nov 13 2011

STATUS

approved

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Last modified October 16 18:56 EDT 2019. Contains 328102 sequences. (Running on oeis4.)