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A007618 a(n) = a(n-1) + sum of digits of a(n-1), a(1) = 5.
(Formerly M3792)
22
5, 10, 11, 13, 17, 25, 32, 37, 47, 58, 71, 79, 95, 109, 119, 130, 134, 142, 149, 163, 173, 184, 197, 214, 221, 226, 236, 247, 260, 268, 284, 298, 317, 328, 341, 349, 365, 379, 398, 418, 431, 439, 455, 469, 488, 508, 521, 529, 545, 559, 578, 598 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) = A004207(n+5) for n > 52. - Reinhard Zumkeller, Oct 14 2013

REFERENCES

N. Agronomof, Problem 4421, L'Intermédiaire des mathématiciens, v. 21 (1914), p. 147. (Mentions sequence starting at 11.) - N. J. A. Sloane, Nov 22 2013

D. R. Kaprekar, Puzzles of the Self-Numbers. 311 Devlali Camp, Devlali, India, 1959.

D. R. Kaprekar, The Mathematics of the New Self Numbers, Privately Printed, 311 Devlali Camp, Devlali, India, 1963.

J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 65.

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

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Index entries for Colombian or self numbers and related sequences

FORMULA

a(n) = A062028(a(n-1)) for n > 1. - Reinhard Zumkeller, Oct 14 2013

PROG

(Haskell)

a007618 n = a007618_list !! (n-1)

a007618_list = iterate a062028 5  -- Reinhard Zumkeller, Oct 14 2013

CROSSREFS

Cf. A016052, A006507, A016096.

Sequence in context: A070791 A173901 A016084 * A004748 A038030 A094016

Adjacent sequences:  A007615 A007616 A007617 * A007619 A007620 A007621

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane, Robert G. Wilson v, Mira Bernstein

STATUS

approved

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Last modified October 22 19:53 EDT 2019. Contains 328319 sequences. (Running on oeis4.)