

A151942


Table of Self / Colombian numbers and their descendents.


1



1, 2, 3, 4, 6, 5, 8, 12, 10, 7, 16, 15, 11, 14, 9, 23, 21, 13, 19, 18, 20, 28, 24, 17, 29, 27, 22, 31, 38, 30, 25, 40, 36, 26, 35, 42, 49, 33, 32, 44, 45, 34, 43, 48, 53, 62, 39, 37, 52, 54, 41, 50, 60, 61, 64, 70, 51, 47, 59, 63, 46, 55, 66, 68, 74, 75, 77, 57, 58, 73, 72, 56
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OFFSET

1,2


COMMENTS

Initially resembles a permutation of the integers, but this is not the case. 101 is the first number to appear twice, descending from both 91 and 100: 91 + 9+1 = 100 + 1+0+0 = 101


LINKS

Table of n, a(n) for n=1..72.
D. R. Kaprekar, The Mathematics of the New Self Numbers [annotated and scanned]
Index entries for Colombian or self numbers and related sequences


FORMULA

T(r,0) are those numbers not of form n + sum of digits of n (Self numbers)
T(r,c) = T(r,c1) + sum of digits of T(r,c1)


CROSSREFS

First column of table is the Self numbers: A003052; First through eighth rows are A004207, A016052, A007618, A006507, A016096, A036227, A036228 respectively.
Sequence in context: A224531 A058213 A080997 * A054582 A257797 A220347
Adjacent sequences: A151939 A151940 A151941 * A151943 A151944 A151945


KEYWORD

base,easy,nonn,tabl


AUTHOR

Carl R. White, Jul 13 2009


STATUS

approved



