A118087 Start with 1 and repeatedly reverse the digits and add 43 to get the next term.

1, 44, 87, 121, 164, 504, 448, 887, 831, 181, 224, 465, 607, 749, 990, 142, 284, 525, 568, 908, 852, 301, 146, 684, 529, 968, 912, 262, 305, 546, 688, 929, 972, 322, 266, 705, 550, 98, 132, 274, 515, 558, 898, 941, 192, 334, 476, 717, 760, 110, 54, 88, 131, 174, 514, 458, 897, 841, 191, 234, 475, 617, 759, 1000, 44

Offset: 1

Author

Luc Stevens (lms022(AT)yahoo.com), May 11 2006

Keywords

• base
• nonn

Comments

After 1 step enters a cycle of length 63.

Links

• N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.
• Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Crossrefs

Cf. A004086, A117828, A117816, A117817.

Programs

Maple

a:= proc(n) option remember; `if`(n=1, 1, 43 +(s-> parse(
      cat(seq(s[-i], i=1..length(s)))))(cat("", a(n-1))))
    end:
seq(a(n), n=1..65);  # Alois P. Heinz, Nov 07 2019

Formula

a(n) = 43 + A004086(a(n-1)) for n > 1, a(1) = 1. - Alois P. Heinz, Nov 07 2019

Extensions

a(43)-a(52) corrected and more terms added by Alois P. Heinz, Nov 07 2019