A219659 Irregular table where row n (n >= 0) starts with n, the next term is A219651(n), and the successive terms are obtained by repeatedly subtracting the sum of digits in the previous term's factorial expansion, until zero is reached, after which the next row starts with one larger n.

0, 1, 0, 2, 1, 0, 3, 1, 0, 4, 2, 1, 0, 5, 2, 1, 0, 6, 5, 2, 1, 0, 7, 5, 2, 1, 0, 8, 6, 5, 2, 1, 0, 9, 6, 5, 2, 1, 0, 10, 7, 5, 2, 1, 0, 11, 7, 5, 2, 1, 0, 12, 10, 7, 5, 2, 1, 0, 13, 10, 7, 5, 2, 1, 0, 14, 11, 7, 5, 2, 1, 0, 15, 11, 7, 5, 2, 1, 0, 16, 12, 10, 7, 5, 2, 1, 0

Offset

0,4

Comments

Rows converge towards A219666 (reversed).

See A007623 for the Factorial number system representation.

Links

A. Karttunen, Rows 0..120, flattened

Prog

(Scheme with Antti Karttunen's Intseq-library):
(definec (A219659 n) (cond ((< n 2) n) ((not (zero? (A219659 (- n 1)))) (A219651 (A219659 (- n 1)))) (else (+ 1 (A219659 (+ 1 (Aux_for_219659 (- n 1))))))))
(define Aux_for_219659 (compose-funs A219657 -1+ (LEAST-GTE-I 0 0 A219657))) ;; Gives the position of previous zero.

Crossrefs

Cf. A007623, A034968, A219651, A219657. Analogous sequence for binary system: A218254, for Zeckendorf expansion: A219649.

Sequence in context: A194849 A071802 A110355 * A029293 A218254 A285037

Adjacent sequences: A219656 A219657 A219658 * A219660 A219661 A219662

Keyword

nonn,tabf

Author

Antti Karttunen, Nov 25 2012

Status

approved