A173822 - OEIS

A173822

a(n) shows the digit sum of the smallest a(n+1) not yet present in the sequence

1, 10, 19, 9, 18, 8, 17, 7, 16, 6, 15, 5, 14, 4, 13, 3, 12, 2, 11, 29, 20, 101, 28, 26, 24, 22, 110, 37, 21, 100, 46, 31, 30, 102, 55, 23, 111, 38, 35, 32, 120, 39, 27, 25, 41, 40, 103, 64, 33, 201, 200, 299, 36, 42, 112, 47, 34, 121, 48, 44, 130, 49, 45, 50, 104, 73, 43, 202

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

a(1) = 1, and for n > 1 a(n) is the smallest integer not yet present in the sequence with digital sum a substring of the decimal digits of a(n-1).

LINKS

Charles R Greathouse IV, Table of n, a(n) for n=1..10000

Eric Angelini, Visible DigitSums (sequence T)

E. Angelini, Visible DigitSums [Cached copy, with permission]

EXAMPLE

a(1) is 1, so a(2) must have digital sum 1, so a(2) = 10 (1 is already in the sequence). a(3) must then have digital sum 1, 0, or 10, so a(3) = 19. a(4) must have digital sum 1, 9, or 19 and so a(4) = 9.

CROSSREFS

Cf. A173821, A173823.

Sequence in context: A153689 A240022 A264386 * A122607 A113703 A103757

Adjacent sequences: A173819 A173820 A173821 * A173823 A173824 A173825

KEYWORD

base,nonn,look

AUTHOR

Charles R Greathouse IV and Eric Angelini, Mar 01 2010

STATUS

approved