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A034801 Triangle of Fibonomial coefficients (k=2). 8
1, 1, 1, 1, 3, 1, 1, 8, 8, 1, 1, 21, 56, 21, 1, 1, 55, 385, 385, 55, 1, 1, 144, 2640, 6930, 2640, 144, 1, 1, 377, 18096, 124410, 124410, 18096, 377, 1, 1, 987, 124033, 2232594, 5847270, 2232594, 124033, 987, 1, 1, 2584, 850136, 40062659, 274715376 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

REFERENCES

A. Brousseau, Fibonacci and Related Number Theoretic Tables. Fibonacci Association, San Jose, CA, 1972, p. 88.

LINKS

Table of n, a(n) for n=0..49.

C. Pita, On s-Fibonomials, J. Int. Seq. 14 (2011) # 11.3.7

C. J. Pita Ruiz Velasco, Sums of Products of s-Fibonacci Polynomial Sequences, J. Int. Seq. 14 (2011) # 11.7.6

FORMULA

Fibonomial coefficients formed from sequence F_3k [ 2, 8, 34, ... ].

a(n, k) = product(fibonacci(2*(n-j)), j=0..k-1)/product(fibonacci(2*j), j=1..k)

EXAMPLE

1 ;

1 1 ;

1 3 1 ;

1 8 8 1 ;

1 21 56 21 1 ;

1 55 385 385 55 1 ;

1 144 2640 6930 2640 144 1 ;

1 377 18096 124410 124410 18096 377 1 ;

1 987 124033 2232594 5847270 2232594 124033 987 1 ;

MAPLE

A034801 := proc(n, k)

    mul(combinat[fibonacci](2*n-2*j), j=0..k-1) /

    mul(combinat[fibonacci](2*j), j=1..k) ;

end proc: # R. J. Mathar, Sep 02 2017

CROSSREFS

Cf. A010048.

Sequence in context: A238688 A174117 A157210 * A102435 A152570 A100537

Adjacent sequences:  A034798 A034799 A034800 * A034802 A034803 A034804

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from James A. Sellers, Feb 09 2000

STATUS

approved

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Last modified May 22 21:17 EDT 2019. Contains 323504 sequences. (Running on oeis4.)