login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A181927 Row square-sums of Fibonomial triangle A010048. 0
1, 2, 3, 10, 56, 502, 6930, 157172, 5847270, 350430420, 33789991248, 5280020814732, 1338210835193414, 548265785425359340, 363248986031094300018, 389399454403643525265020, 675824289510077938157099920 (list; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 18 00:28 EST 2020. Contains 332006 sequences. (Running on oeis4.)