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 A016096 a(n+1) = a(n) + sum of its digits, with a(1) = 9. 13
 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 117, 126, 135, 144, 153, 162, 171, 180, 189, 207, 216, 225, 234, 243, 252, 261, 270, 279, 297, 315, 324, 333, 342, 351, 360, 369, 387, 405, 414, 423, 432, 441, 450, 459, 477, 495, 513, 522, 531, 540 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES 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. LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 D. R. Kaprekar, The Mathematics of the New Self Numbers [annotated and scanned] FORMULA a(n) = A062028(a(n-1)) for n > 1. - Reinhard Zumkeller, Oct 14 2013 PROG (Haskell) a016096 n = a016096_list !! (n-1) a016096_list = iterate a062028 9 -- Reinhard Zumkeller, Oct 14 2013 (Python) from itertools import islice def A016096_gen(): # generator of terms a = 9 while True: yield a a += sum(int(d) for d in str(a)) A016096_list = list(islice(A016096_gen(), 20)) # Chai Wah Wu, Mar 29 2022 CROSSREFS Cf. A004207, A016052, A007618, A006507. Sequence in context: A008591 A070279 A259729 * A335978 A070793 A052223 Adjacent sequences: A016093 A016094 A016095 * A016097 A016098 A016099 KEYWORD nonn,base AUTHOR STATUS approved

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Last modified December 6 01:03 EST 2022. Contains 358594 sequences. (Running on oeis4.)