A276951 Index of column where n is located in array A276953 (equally: row in A276955).

0, 1, 1, 2, 3, 4, 1, 5, 2, 6, 7, 8, 3, 9, 4, 10, 11, 12, 13, 14, 15, 16, 17, 18, 1, 19, 5, 20, 21, 22, 2, 23, 6, 24, 25, 26, 7, 27, 8, 28, 29, 30, 31, 32, 33, 34, 35, 36, 3, 37, 9, 38, 39, 40, 4, 41, 10, 42, 43, 44, 11, 45, 12, 46, 47, 48, 49, 50, 51, 52, 53, 54, 13, 55, 14, 56, 57, 58, 15, 59, 16, 60, 61, 62, 17, 63, 18, 64

Offset: 0

Author

Antti Karttunen, Sep 22 2016

Keywords

• nonn
• base

Comments

a(0) = 0 by convention, because 0 is not present in arrays A276953 and A276955.

Links

• Antti Karttunen, Table of n, a(n) for n = 0..5040
• Index entries for sequences related to factorial base representation

Crossrefs

Cf. A260736, A266193, A273670, A276950, A276952, A273663.

Cf. arrays A276953 & A276955. A276949 gives their other index.

Cf. also A257681, A275847.

Programs

Scheme

(definec (A276951 n) (cond ((zero? n) n) ((not (zero? (A276950 n))) (A276952 n)) (else (A276951 (A266193 n)))))

Formula

a(0) = 0; for n >= 1, if A260736(n) > 0 [when A276950(n) is not zero, when n is in A273670], then a(n) = A276952(n) = 1 + A273663(n), otherwise a(n) = a(A266193(n)).

Other identities. For all n >= 0:

a(n) = A257681(A275847(n)).