A181927 Row square-sums of Fibonomial triangle A010048.

1, 2, 3, 10, 56, 502, 6930, 157172, 5847270, 350430420, 33789991248, 5280020814732, 1338210835193414, 548265785425359340, 363248986031094300018, 389399454403643525265020, 675824289510077938157099920

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Formula

a(n) = sum(fibonomial(n,k)^2,k=0..n).

Mathematica

FiboFactorial[n_] := Product[Fibonacci[k], {k, 1, n}]
Fibonomial[n_, k_] :=
If[k > n, 0, FiboFactorial[n]/(FiboFactorial[k] FiboFactorial[n - k])
  ]
Table[Sum[Fibonomial[n, k]^2, {k, 0, n}], {n, 0, 100}]
(* Emanuele Munarini, Feb 18 2016 *)

Prog

(Maxima) ffib(n):=prod(fib(k), k, 1, n);
fibonomial(n, k):=ffib(n)/(ffib(k)*ffib(n-k));
makelist(sum(fibonomial(n, k)^2, k, 0, n), n, 0, 30);

Crossrefs

Cf. A010048, A056569.

Sequence in context: A054921 A192258 A052561 * A066526 A093856 A173097

Adjacent sequences: A181924 A181925 A181926 * A181928 A181929 A181930

Keyword

nonn

Author

Emanuele Munarini, Apr 02 2012

Status

approved