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A003052 Self or Colombian numbers (not of form n + sum of digits of n).
(Formerly M2404)
+0
15
1, 3, 5, 7, 9, 20, 31, 42, 53, 64, 75, 86, 97, 108, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 211, 222, 233, 244, 255, 266, 277, 288, 299, 310, 312, 323, 334, 345, 356, 367, 378, 389, 400, 411, 413, 424, 435, 446, 457, 468, 479, 490, 501, 512, 514, 525 (list; graph; listen)
OFFSET

1,2

REFERENCES

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

M. Gardner, Time Travel and Other Mathematical Bewilderments. Freeman, NY, 1988, p. 116.

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

D. R. Kaprekar, The Mathematics of the New Self Numbers (Part V). 311 Devlali Camp, Devlali, India, 1967.

B. Recaman, Problem E2408, Amer. Math. Monthly, 81 (1974), p. 407.

J. Recreational Math., vol. 23, no. 1, p. 244, 1991.

LINKS

W. Schneider, Self Numbers

T. Trotter, Charlene Numbers

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Wikipedia, Self number

CROSSREFS

Cf. A006378, A006886.

For self primes, i.e. self numbers which are primes, see A006378.

Sequence in context: A114136 A025072 A083107 this_sequence A003219 A030142 A076185

Adjacent sequences: A003049 A003050 A003051 this_sequence A003053 A003054 A003055

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jul 06 2000

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.


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