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A096287 Number of iterations of n -> n + (product of nonzero digits of n) needed for the trajectory of n to join the trajectory of A063108. 3
0, 0, 5, 0, 6, 4, 3, 0, 2, 5, 4, 3, 1, 2, 2, 0, 3, 1, 5, 1, 10, 0, 9, 2, 7, 0, 9, 4, 8, 8, 5, 1, 7, 4, 6, 2, 15, 0, 2, 4, 8, 6, 5, 3, 7, 3, 7, 4, 16, 5, 17, 1, 2, 1, 4, 16, 7, 14, 1, 2, 4, 0, 322, 3, 6, 1, 3, 1, 17, 2, 16, 16, 17, 0, 6, 2, 1, 15, 14, 3, 321, 14, 4, 1, 15, 15, 13, 2, 320, 12, 3, 6, 2, 16 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Loomis has verified that all n up to 1000000 eventually join the trajectory of A063108.

LINKS

Paul Tek, Table of n, a(n) for n = 1..10000

P. A. Loomis, An Interesting Family of Iterated Sequences.

P. A. Loomis, An Introduction to Digit Product Sequences, J. Rec. Math., 32 (2003-2004), 147-151.

P. A. Loomis, An Introduction to Digit Product Sequences, J. Rec. Math., 32 (2003-2004), 147-151. [Annotated archived copy]

Paul Tek, C program for this sequence

Index entries for Colombian or self numbers and related sequences

EXAMPLE

a(3)=5 because the trajectory for 1 (Sequence A063108) starts

1->2->4->8->16->22->26->38->62->74...

and the sequence for 3 starts

3->6->12->14->18->26->38->62->74...

so the sequence beginning with 3 joins A063108 after 5 steps.

PROG

(C) See Link section.

CROSSREFS

Sequence in context: A159751 A190914 A153458 * A240243 A144483 A098403

Adjacent sequences:  A096284 A096285 A096286 * A096288 A096289 A096290

KEYWORD

base,nonn

AUTHOR

Jason Earls, Jun 23 2004

STATUS

approved

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Last modified September 21 13:37 EDT 2019. Contains 327253 sequences. (Running on oeis4.)