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
Links
- Manfred Scheucher, Sage Script
- David Terr, On the Sums of Digits of Fibonacci Numbers, Fibonacci Quarterly 34, Aug. 1996, pp. 349-355.
Programs
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Maple
filter:= proc(n) convert(convert(combinat:-fibonacci(n),base,12),`+`)=n end proc: select(filter, [$1..3000]); # Robert Israel, Aug 03 2015
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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
Comments