

A193343


a(1) = 42; a(n) = 10*(sum of digits of a(n1)) + (last digit of a(n1)) + 1 for n >= 2.


0



42, 63, 94, 135, 96, 157, 138, 129, 130, 41, 52, 73, 104, 55, 106, 77, 148, 139, 140, 51, 62, 83, 114, 65, 116, 87, 158, 149, 150, 61, 72, 93, 124, 75, 126, 97, 168, 159, 160, 71, 82, 103, 44, 85, 136, 107, 88, 169, 170, 81, 92, 113, 54, 95, 146, 117, 98, 179, 180, 91, 102, 33, 64, 105, 66, 127, 108, 99, 190, 101, 22, 43, 74, 115, 76, 137, 118, 109, 110, 21, 32, 53, 84, 125, 86, 147, 128, 119, 120, 31, 42, 63
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OFFSET

1,1


COMMENTS

The sequence is periodic: a(91) = a(1).  Georg Fischer, Jan 15 2021


REFERENCES

Clifford A. Pickover, A Passion for Mathematics, John Wiley & Sons, Inc., 2005, pp. 103 and 311 (for "Trains with crystal balls").


LINKS

Table of n, a(n) for n=1..92.


MATHEMATICA

nxt[n_]:=Module[{idn=IntegerDigits[n]}, 10Total[idn]+Last[idn]+1]; NestList[nxt, 42, 120] (* Harvey P. Dale, Jul 23 2011 *)


CROSSREFS

Cf. A007953, A010879.
Sequence in context: A053323 A248441 A119650 * A118074 A350641 A115957
Adjacent sequences: A193340 A193341 A193342 * A193344 A193345 A193346


KEYWORD

nonn,base,easy


AUTHOR

Harvey P. Dale, Jul 23 2011


STATUS

approved



