0,3

Or, numbers that are sums of distinct powers of 10.

Or, decimal numbers that only mention 0 and 1.

Complement of A136399; A064770(a(n)) = a(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 30 2007

a(A000290(n)) = A001737(n). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 25 2009]

Contribution from Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 25 2009: (Start)

Nonnegative integers with no decimal digit > 1.

Thus nonnegative integers n in base 10 such that kn can be calculated by normal addition (i.e., n + n + ... + n, with k n's (but not necessarily k + k + ... + k, with n k's)) or multiplication without requiring any carry operations for 0 <= k <= 9. (End)

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Franklin T. Adams-Watters, Table of n, a(n) for n = 0..8192

Index entries for sequences related to binary expansion of n

a(n)=Sum{d(i)*10^i: i=0, 1, ..., m}, where Sum{d(i)*2^i: i=0, 1, ..., m} is the base 2 representation of n.

a(n)=(1/2)*sum(i => 0, (1-(-1)^floor(n/2^i))*10^i). - Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 20 2001

a(n) = A097256(n)/9.

a(2n) = 10*a(n), a(2n+1) = a(2n)+1.

G.f. 1/(1-x) * Sum_{k>=0} 10^k * x^{2^k}/(1+x^{2^k}) - for sequence as decimal integers. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jun 16 2006

a(6)=110 because (1/2)*((1-(-1)^6)*10^0+(1-(-1)^3)*10^1+(1-(-1)^1)*10^2) = 10+100

A007088 := proc(n) local dgs ; dgs := convert(n, base, 2) ; add( op(i, dgs)*10^(i-1), i=1..nops(dgs)) ; end: [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 11 2009]

Table[ FromDigits[ IntegerDigits[n, 2]], {n, 0, 39}]

(PARI) a(n)=subst(Pol(binary(n)), x, 10)

(PARI) a(n)=if(n<=0, 0, n%2+10*a(n\2))

The basic sequences concerning the binary expansion of n are this one, A000788, A000069, A001969, A023416, A059015, A000120.

Cf. A000042, A007089, A007090, A007091, A007092, A007093, A007094 & A007095.

Cf. A000695, A005836, A033042-A033052.

A159918. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 25 2009]

Sequence in context: A136830 A153069 A081551 this_sequence A115848 A136814 A136809

Adjacent sequences: A007085 A007086 A007087 this_sequence A007089 A007090 A007091

nonn,nice,easy

N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)