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

Author

Sven Simon

Keywords

• nonn
• base
• more

Comments

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

Links

• Manfred Scheucher, Sage Script
• David Terr, On the Sums of Digits of Fibonacci Numbers, Fibonacci Quarterly 34, Aug. 1996, pp. 349-355.

Crossrefs

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

Programs

Maple

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

PARI

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

Extensions

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