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 A275964 Total number of nonzero digits with multiple occurrences in factorial base representation of n (counted with multiplicity): a(n) = A275812(A275735(n)). 8
 0, 0, 0, 2, 0, 0, 0, 2, 2, 3, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 3, 0, 2, 2, 3, 3, 4, 2, 3, 0, 2, 2, 3, 2, 4, 0, 2, 2, 3, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 3, 2, 4, 2, 2, 2, 4, 3, 3, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 3, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 3, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Antti Karttunen, Table of n, a(n) for n = 0..40320 Indranil Ghosh, Python program for computing this sequence FORMULA a(n) = A275812(A275735(n)). Other identities and observations. For all n >= 0. a(n) = A275962(A225901(n)). a(n) = A060130(n) - A275948(n). a(n) >= A275949(n). EXAMPLE For n=0, with factorial base representation (A007623) also 0, there are no nonzero digits, thus a(0) = 0. For n=2, with factorial base representation "10", there are no nonzero digits that are present multiple times, thus a(2) = 0. For n=3 ("11") there is one nonzero digit which occurs more than once, and it occurs two times in total, thus a(3) = 2. For n=41 ("1221") there are two distinct nonzero digits ("1" and "2"), and both occur more than once, namely twice each, thus a(41) = 2+2 = 4. For n=44 ("1310") there are two distinct nonzero digits ("1" and "3"), but only the other (1) occurs more than once (two times), thus a(44) = 2. For n=279 ("21211") there are two distinct nonzero digits present that occur more than once, digit 2 twice, and digit 1 for three times, thus a(279) = 2+3 = 5. PROG (Scheme) (define (A275964 n) (A275812 (A275735 n))) CROSSREFS Cf. A275735, A275812. Cf. A265349 (indices of zeros), A265350 (of terms > 0). Cf. also A060130, A225901, A275948, A275949. Sequence in context: A143063 A210703 A340455 * A284272 A175070 A343873 Adjacent sequences:  A275961 A275962 A275963 * A275965 A275966 A275967 KEYWORD nonn,base AUTHOR Antti Karttunen, Aug 15 2016 STATUS approved

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Last modified September 23 00:32 EDT 2021. Contains 347609 sequences. (Running on oeis4.)