A020996 Numbers k such that the sum of the digits of Fibonacci(k) in base 12 is k.

0, 1, 5, 13, 14, 89, 96, 123, 221, 387, 419, 550, 648, 749, 866, 892, 1105, 2037

Offset

1,3

Comments

No more terms < 100000. - Manfred Scheucher, Aug 03 2015

Links

Table of n, a(n) for n=1..18.

Manfred Scheucher, Sage Script

David Terr, On the Sums of Digits of Fibonacci Numbers, Fibonacci Quarterly 34, Aug. 1996, pp. 349-355.

Maple

filter:= proc(n) convert(convert(combinat:-fibonacci(n), base, 12), `+`)=n end proc:
select(filter, [$1..3000]); # Robert Israel, Aug 03 2015

Prog

(PARI) isok(n) = vecsum(digits(fibonacci(n), 12)) == n; \\ Michel Marcus, Feb 18 2015

Crossrefs

Cf. A020995 (base 10), A025490 (base 11).

Sequence in context: A291792 A292565 A174069 * A090759 A090758 A327922

Adjacent sequences: A020993 A020994 A020995 * A020997 A020998 A020999

Keyword

nonn,base,more

Author

Sven Simon

Extensions

a(1)=0 inserted by Sean A. Irvine, May 06 2019

Status

approved