A100475 Prime-th recurrence with reversal at each step.

1, 2, 3, 5, 11, 13, 14, 34, 931, 7037, 95017, 3549221, 75296795, 3518502151, 34778126848, 747746329129, 13428156340222, 728260738568834, 17205012007789762

Offset

0,2

Comments

Starting at other than a(n) = 1, does this sequence ever go into a loop?

References

Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, pp. 14-15, 1987.

Links

Table of n, a(n) for n=0..18.

Andrew Booker, The Nth Prime Page

Eric Weisstein's World of Mathematics, Reversal.

Eric Weisstein's World of Mathematics, Rosser's Theorem.

Formula

a(n) = reversal(a(n-1)th prime).

Example

a(7) = 14 because a(6) = 13, the 13th prime is 41 and reversal(41) = 14.

Mathematica

f[n_] := FromDigits[ Reverse[ IntegerDigits[ Prime[n]]]]; NestList[f, 1, 16] (* Robert G. Wilson v, Dec 02 2004 *)
NestList[IntegerReverse[Prime[#]]&, 1, 19] (* Harvey P. Dale, May 02 2022 *)

Crossrefs

Cf. A007097, A031877.

Sequence in context: A093902 A269004 A379316 * A187921 A275059 A072538

Adjacent sequences: A100472 A100473 A100474 * A100476 A100477 A100478

Keyword

nonn,base,more

Author

Jonathan Vos Post, Nov 22 2004

Extensions

a(15)-a(16) from Robert G. Wilson v, Dec 02 2004

a(17)-a(18) from Paul Zimmermann, Dec 04 2004, computed thanks to Deléglise-Rivat's program; confirmed by Marc Deléglise, Dec 09 2004

Status

approved