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A063013 Numbers where k-th digit from right is either 0 or k. 2
0, 1, 20, 21, 300, 301, 320, 321, 4000, 4001, 4020, 4021, 4300, 4301, 4320, 4321, 50000, 50001, 50020, 50021, 50300, 50301, 50320, 50321, 54000, 54001, 54020, 54021, 54300, 54301, 54320, 54321, 600000, 600001, 600020, 600021, 600300, 600301, 600320, 600321 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(511) = 987654321 is the last term.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..511

FORMULA

a(n) = a(n-2^floor(log_2(n))) + floor(log_2(n)+1)*10^floor(log_2(n)).

a(n) = Sum_{k>=0} A030308(n,k)*A053541(k+1). - Philippe Deléham, Oct 15 2011

EXAMPLE

a(11) = 4021 since 11 is written as 1011 in binary and the 1's can then be replaced by the relevant digits.

MAPLE

a:= n-> (l-> parse(cat(seq(l[-i]*(1+nops(l)-i),

         i=1..nops(l)))))(convert(n, base, 2)):

seq(a(n), n=0..2^6-1);  # Alois P. Heinz, Oct 29 2018

MATHEMATICA

FromDigits /@ (Range[9, 1, -1]*# & /@ IntegerDigits[Range[0, 511], 2, 9]) (* Giovanni Resta, Oct 28 2018 *)

CROSSREFS

Cf. A063012, A053541.

Sequence in context: A082260 A041834 A219798 * A028931 A063012 A302205

Adjacent sequences:  A063010 A063011 A063012 * A063014 A063015 A063016

KEYWORD

base,nonn,fini,full

AUTHOR

Henry Bottomley, Jul 04 2001

STATUS

approved

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Last modified January 16 19:49 EST 2019. Contains 319206 sequences. (Running on oeis4.)