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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 30 00:57 EDT 2024. Contains 375520 sequences. (Running on oeis4.)