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A230406 a(n) = A034968(A219666(n)); after zero, the differences between successive nodes in the infinite trunk of the factorial beanstalk (A219666). 8
0, 1, 1, 3, 2, 3, 2, 5, 6, 2, 3, 2, 5, 5, 6, 2, 4, 5, 6, 7, 4, 5, 6, 7, 5, 5, 7, 10, 2, 3, 2, 5, 5, 6, 2, 4, 5, 6, 7, 4, 5, 6, 7, 5, 5, 6, 9, 8, 7, 10, 2, 4, 5, 6, 7, 4, 5, 6, 7, 5, 5, 6, 8, 6, 8, 8, 7, 10, 11, 4, 5, 6, 7, 5, 5, 6, 8, 6, 8, 8, 7, 10, 12, 10, 11 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Also the first differences of A219666, shifted once right and prepended with zero.

This sequence relates to the factorial base representation (A007623) in the same way as A213712 relates to the binary system.

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..3149

FORMULA

a(n) = A034968(A219666(n)).

a(0) = 0, and for n>=1, a(n) = A219666(n) - A219666(n-1).

a(A226061(n)) = A000217(n-1) for all n.

PROG

(Scheme)

(define (A230406 n) (A034968 (A219666 n)))

;; Alternative definition:

(define (A230406 n) (if (zero? n) n (- (A219666 n) (A219666 (- n 1)))))

CROSSREFS

Cf. also A230418, A230410.

Sequence in context: A258778 A112924 A267148 * A214254 A153092 A165601

Adjacent sequences:  A230403 A230404 A230405 * A230407 A230408 A230409

KEYWORD

nonn

AUTHOR

Antti Karttunen, Nov 09 2013

STATUS

approved

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Last modified May 17 16:03 EDT 2021. Contains 343980 sequences. (Running on oeis4.)