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A029484 Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 15 (most significant digit on left). 0
1, 7, 32, 49, 61, 91, 169, 224, 791, 1568, 10304, 34112, 160832, 733376, 966721, 1127392, 4197571, 10914848, 13250272, 15000608, 62776133, 70412363, 82053664 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

No other terms below 10^8.

No multiple of 3 or 5 can be in this sequence, since the numbers resulting from these concatenations are all congruent to 1 mod 15. - Alonso del Arte, Sep 16 2016

LINKS

Table of n, a(n) for n=1..23.

Index entries for related sequences

EXAMPLE

In base 15, 7654321 is 84557956 in decimal, and we verify that that is a multiple of 7, as 84557956/7 = 12079708. Hence 7 is in the sequence.

87654321 base 15 is 1451432956 and 1451432956/8 = 181429119.5. Hence 8 is not in the sequence.

MATHEMATICA

Select[Range[10^3], Divisible[FromDigits[#, 15] &@ Flatten@ Reverse@ IntegerDigits[Range@ #, 15], #] &] (* Michael De Vlieger, Sep 16 2016 *)

CROSSREFS

Cf. A029447-A029470 (in particular, A029460), A029471-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

Sequence in context: A067811 A044084 A044465 * A153716 A153715 A060123

Adjacent sequences:  A029481 A029482 A029483 * A029485 A029486 A029487

KEYWORD

nonn,base,more

AUTHOR

Olivier Gérard

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Jun 01 2001

Edited and updated by Larry Reeves (larryr(AT)acm.org), Apr 12 2002

a(14)-a(23) from Max Alekseyev, May 15 2011

STATUS

approved

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Last modified January 18 10:53 EST 2019. Contains 319271 sequences. (Running on oeis4.)