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A219640 Numbers n for which there exists k such that n = k - (number of 1's in Zeckendorf expansion of k); distinct values in A219641. 9
0, 1, 2, 4, 5, 7, 8, 9, 12, 13, 14, 16, 17, 20, 21, 22, 24, 25, 27, 28, 29, 33, 34, 35, 37, 38, 40, 41, 42, 45, 46, 47, 49, 50, 54, 55, 56, 58, 59, 61, 62, 63, 66, 67, 68, 70, 71, 74, 75, 76, 78, 79, 81, 82, 83, 88, 89, 90, 92, 93, 95, 96, 97, 100, 101, 102 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
These are the positive integers i for which there exists k such that A007895(i+k)=k.
Starting offset is zero, because a(0) = 0 is a special case. Start indexing from 1 when you want only nonzero natural numbers satisfying the same condition.
LINKS
FORMULA
a(n) = A219641(A022342(n+1)).
Other identities. For all n >= 0:
A261093(a(n)) = n.
A261094(a(n)) = n.
PROG
(Scheme): (define (A219640 n) (A219641 (A022342 (+ 1 n))))
CROSSREFS
Cf. A219641. Complement: A219638. Union of A219639 and A219637.
First differences: A261095.
Characteristic function: A261092.
Left inverses: A261093, A261094.
Analogous sequences for other bases: A005187, A219650.
Sequence in context: A345917 A303739 A183544 * A344406 A184164 A190852
KEYWORD
nonn
AUTHOR
Antti Karttunen, Nov 24 2012
EXTENSIONS
Starting offset changed to 0 by Antti Karttunen, Aug 08 2015
STATUS
approved

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Last modified July 21 03:50 EDT 2024. Contains 374463 sequences. (Running on oeis4.)