A174430 - OEIS

A174430

Triangle read by rows: T(n,m) = gcd(Fibonacci(n), Fibonacci(m)).

0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 5, 1, 1, 1, 1, 5, 8, 1, 1, 2, 1, 1, 8, 13, 1, 1, 1, 1, 1, 1, 13, 21, 1, 1, 1, 3, 1, 1, 1, 21, 34, 1, 1, 2, 1, 1, 2, 1, 1, 34, 55, 1, 1, 1, 1, 5, 1, 1, 1, 1, 55

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OFFSET

0,7

COMMENTS

Row sums are {0, 2, 3, 6, 9, 14, 22, 32, 51, 78, 123, ...}.

T(n,m) = Fibonacci(gcd(n,m)).

LINKS

Table of n, a(n) for n=0..65.

EXAMPLE

Table begins

1, 1;

1, 1, 1;

2, 1, 1, 2;

3, 1, 1, 1, 3;

5, 1, 1, 1, 1, 5;

8, 1, 1, 2, 1, 1, 8;

13, 1, 1, 1, 1, 1, 1, 13;

21, 1, 1, 1, 3, 1, 1, 1, 21;

34, 1, 1, 2, 1, 1, 2, 1, 1, 34;

55, 1, 1, 1, 1, 5, 1, 1, 1, 1, 55;

MATHEMATICA

Flatten[Table[Table[GCD[Fibonacci[n], Fibonacci[m]], {m, 0, n}], {n, 0, 10}]]

CROSSREFS

Cf. A000045.

Sequence in context: A350357 A136277 A133233 * A116361 A375571 A106796

Adjacent sequences: A174427 A174428 A174429 * A174431 A174432 A174433

KEYWORD

nonn,tabl

AUTHOR

Roger L. Bagula, Nov 28 2010

STATUS

approved