A005698 Positions of remoteness 2 in Beans-Don't-Talk. (Formerly M4394)

7, 29, 57, 227, 455, 1821, 3641, 14563, 29127, 116509, 233017, 932067, 1864135, 7456541, 14913081, 59652323, 119304647, 477218589, 954437177, 3817748707, 7635497415, 30541989661, 61083979321, 244335917283, 488671834567, 1954687338269

Offset

1,1

References

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

Links

Table of n, a(n) for n=1..26.

R. K. Guy, John Isbell's game of beanstalk and John Conway's game of beans-don't-talk, Math. Mag. 59 (1986), no. 5, 259-269.

Formula

Numbers of the form (2^(3*n+3)+(-1)^n)/9 or (2^(3*n+5)-5*(-1)^n)/9 for n >= 1 [From Guy]. - Sean A. Irvine, Aug 11 2016

Crossrefs

Sequence in context: A165492 A084201 A031380 * A080185 A355920 A219835

Adjacent sequences: A005695 A005696 A005697 * A005699 A005700 A005701

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Aug 11 2016

Status

approved