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A276949 Index of row where n is located in array A276953 (equally: column in A276955). 8
0, 1, 2, 1, 1, 1, 3, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 1, 3, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 3, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

This is the smallest difference that occurs between any nonzero digit's radix (which is one more than its one-based position from the right) and that digit's value in the factorial base representation of n. See A225901 and the example.

a(0) = 0 by convention, as there are no nonzero digits present, and neither does 0 occur in arrays A276953 & A276955.

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..5040

Index entries for sequences related to factorial base representation

FORMULA

a(0) = 0, and for n >= 1: if A276950(n) = 1, then a(n) = 1, otherwise a(n) = 1 + a(A266193(n)).

Other identities. For all n >= 0:

a(n) = A257679(A225901(n)) = A257679(A275847(n)) = A257679(A273667(n)).

EXAMPLE

For n=8, its factorial base representation (A007623) is "110", where the radix for each digit position 1, 2, 3 (from the right) is 2, 3, 4 (one larger than the position). For the 1 in the middle position the difference is 3-1 = 2, while for the 1 at the left we obtain 4-1 = 3. Of these two differences 2 is smaller, thus a(8)=2.

PROG

(Scheme, two alternative implementations)

(definec (A276949 n) (cond ((zero? n) n) ((= 1 (A276950 n)) 1) (else (+ 1 (A276949 (A266193 n))))))

(define (A276949 n) (A257679 (A225901 n)))

CROSSREFS

Cf. A007623, A257679, A266193, A276950.

Cf. A276951 (for the other index).

Cf. arrays A276953 & A276955.

Cf. also A225901, A273667, A275847.

Sequence in context: A102054 A111604 A101491 * A205794 A241665 A175307

Adjacent sequences:  A276946 A276947 A276948 * A276950 A276951 A276952

KEYWORD

nonn,base

AUTHOR

Antti Karttunen, Sep 22 2016

STATUS

approved

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Last modified January 29 01:54 EST 2020. Contains 331328 sequences. (Running on oeis4.)