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A033050 Numbers whose set of base 14 digits is {0,1}. 4
0, 1, 14, 15, 196, 197, 210, 211, 2744, 2745, 2758, 2759, 2940, 2941, 2954, 2955, 38416, 38417, 38430, 38431, 38612, 38613, 38626, 38627, 41160, 41161, 41174, 41175, 41356, 41357, 41370, 41371, 537824, 537825, 537838, 537839, 538020 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Sums of distinct powers of 14.

The base-14 digits may comprise zero, one, or both. - Harvey P. Dale, May 12 2014

LINKS

T. D. Noe, Table of n, a(n) for n = 0..1023

FORMULA

a(n) = Sum{d(i)*14^i: i=0, 1, ..., m}, where Sum{d(i)*2^i: i=0, 1, ..., m} is the base 2 representation of n.

a(n) = A097260(n)/13.

a(2n) = 14*a(n), a(2n+1) = a(2n)+1.

a(n) = Sum_{k>=0} A030308(n,k)*14^k. - Philippe Deléham, Oct 20 2011

G.f.: (1/(1 - x))*Sum_{k>=0} 14^k*x^(2^k)/(1 + x^(2^k)). - Ilya Gutkovskiy, Jun 04 2017

MATHEMATICA

Select[Range[0, 540000], Max[IntegerDigits[#, 14]]<2&] (* Harvey P. Dale, May 12 2014 *)

PROG

(PARI) A033050(n, b=14)=subst(Pol(binary(n)), 'x, b) \\ M. F. Hasler, Feb 01 2016

CROSSREFS

Cf. A000695, A005836, A033042-A033052.

Row 13 of array A104257.

Sequence in context: A041410 A041412 A041414 * A225757 A041416 A041417

Adjacent sequences:  A033047 A033048 A033049 * A033051 A033052 A033053

KEYWORD

nonn,base

AUTHOR

Clark Kimberling

EXTENSIONS

Extended by Ray Chandler, Aug 03 2004

STATUS

approved

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Last modified October 23 18:52 EDT 2018. Contains 316530 sequences. (Running on oeis4.)