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A262677 Number of odd numbers encountered when iterating A049820 starting from n: a(0) = 0 and for n >= 1, a(n) = A000035(n) + a(A049820(n)). 6
0, 1, 0, 2, 1, 3, 0, 4, 1, 1, 0, 2, 0, 3, 0, 3, 2, 4, 0, 5, 0, 5, 0, 6, 2, 1, 0, 7, 0, 8, 0, 9, 0, 9, 0, 10, 7, 11, 0, 11, 0, 12, 0, 13, 0, 12, 0, 13, 0, 1, 0, 14, 0, 15, 0, 15, 0, 16, 0, 17, 0, 18, 0, 17, 16, 19, 0, 20, 0, 20, 0, 21, 0, 22, 0, 21, 0, 23, 0, 24, 0, 1, 0, 2, 0, 2, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 4, 7, 0, 8, 0, 7, 0, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
COMMENTS
Number of odd numbers encountered before zero is reached when starting from k = n and repeatedly applying the map that replaces k by k - d(k), where d(k) is the number of divisors of k (A000005). This count includes n itself if it is odd.
LINKS
FORMULA
a(0) = 0; for n >= 1, a(n) = A000035(n) + a(A049820(n)).
Other identities. For all n >= 0:
A155043(n) = A262676(n) + a(n).
PROG
(Scheme, with memoization-macro definec)
(definec (A262677 n) (if (zero? n) n (+ (A000035 n) (A262677 (A049820 n)))))
CROSSREFS
Sequence in context: A357991 A096269 A260437 * A307742 A297109 A073312
KEYWORD
nonn
AUTHOR
Antti Karttunen, Oct 03 2015
STATUS
approved

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Last modified March 28 16:34 EDT 2024. Contains 371254 sequences. (Running on oeis4.)