

A020996


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


3



0, 1, 5, 13, 14, 89, 96, 123, 221, 387, 419, 550, 648, 749, 866, 892, 1105, 2037
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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. 349355.


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



