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A210653 Numbers having a digit 0 or 5 whose waterfall sequence does not end in 0,0,0,.... 1
59, 195, 295, 395, 475, 495, 519, 533, 534, 536, 537, 538, 539, 547, 549, 566, 568, 572, 573, 574, 576, 577, 578, 579, 586, 588, 589, 591, 592, 593, 594, 596, 597, 598, 599, 665, 675, 685, 745, 759, 775, 795, 895, 935, 945, 957, 959, 975, 1175, 1195, 1245, 1275 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The "waterfall" sequence S for a given starting value S(1)>9 is defined as S(n)=d(n)*d(n-1) (n>1), where d(n) is the n-th digit of the sequence.

Initial values having a digit 0 or 5 are likely to end in repeating zeros, which motivates the definition of this sequence. See A210652 for further information.

LINKS

Table of n, a(n) for n=1..52.

PROG

(PARI) is_A210653(n)= setintersect(["0", "5"], Set(Vec(Str(n)))) & !is_A210652(n)

for(n=10, 1999, is_A210653(n) & print1(n", "))

CROSSREFS

Cf. A210614.

Sequence in context: A142857 A142064 A114353 * A325081 A142092 A142215

Adjacent sequences:  A210650 A210651 A210652 * A210654 A210655 A210656

KEYWORD

nonn,base

AUTHOR

M. F. Hasler, Mar 27 2012

STATUS

approved

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Last modified June 24 04:38 EDT 2019. Contains 324318 sequences. (Running on oeis4.)