A214783 - OEIS

A214783

a(n) = smallest k such that n divides Fibonacci(k-1)+3.

1, 2, 1, 2, 4, 5, 13, 6, 17, 15, 7, 9, 19, 29, 17, 8, 23, 17, 15, 15, 13, 17, 12, 9, 18, 47, 41, 45, 11, 17, 27, 18, 17, 23, 77, 21, 10, 15, 25, 18, 25, 29, 34, 27, 17, 12, 21, 21, 13, 18, 33, 75, 59, 41, 17, 45, 33, 11, 14, 57, 35, 27, 45, 18, 75, 17

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OFFSET

1,2

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

EXAMPLE

1 divides F(0)+3=3. 2 divides F(1)+3=4. 3 divides F(0)+3=3. 4 divides F(1)+3=4. 5 divides F(3)+3=5.

MAPLE

A214783 := proc(n)

local k;

for k from 0 do

if modp(combinat[fibonacci](k)+3, n) = 0 then

return k;

end if;

end do:

end proc:

seq(A214783(n), n=1..80) ; # R. J. Mathar, Aug 08 2012

CROSSREFS

Cf. A157726, A001177, A214781, A214782.

Sequence in context: A050042 A166578 A138256 * A360279 A284001 A139145

Adjacent sequences: A214780 A214781 A214782 * A214784 A214785 A214786

KEYWORD

nonn

AUTHOR

Art DuPre, Aug 03 2012

STATUS

approved