A229527 Start with 1, skip (sum of digits of n) numbers, accept next number.

1, 3, 7, 15, 22, 27, 37, 48, 61, 69, 85, 99, 118, 129, 142, 150, 157, 171, 181, 192, 205, 213, 220, 225, 235, 246, 259, 276, 292, 306, 316, 327, 340, 348, 364, 378, 397, 417, 430, 438, 454, 468, 487, 507, 520, 528, 544, 558, 577, 597

Offset

1,2

Links

Robert G. Wilson v, Table of n, a(n) for n = 1..10000

Index entries for Colombian or self numbers and related sequences

Formula

a(n+1) = a(n) + (sum of digits of a(n)) + 1.

Example

a(1)=1, a(2)=1+1+1=3, a(3)=3+3+1=7, a(4)=7+7+1=15, a(5)=15+1+5+1=22, a(6)=22+2+2+1=27, ...

Mathematica

a[n_] := a[n] = a[n - 1] + 1 + Plus @@ IntegerDigits@a[n - 1]; a[1] = 1; Array[a, 50] (* Robert G. Wilson v, Aug 01 2018 *)

Crossrefs

Cf. A007612, A004207, A160939.

Sequence in context: A146435 A046932 A015821 * A091711 A103007 A077790

Adjacent sequences: A229524 A229525 A229526 * A229528 A229529 A229530

Keyword

nonn,base

Author

Dave Durgin, Sep 25 2013

Status

approved