A007319 A grasshopper sequence: closed under n -> 2n+2 and 6n+6. (Formerly M3373)

1, 4, 10, 12, 22, 26, 30, 46, 54, 62, 66, 78, 94, 110, 126, 134, 138, 158, 162, 186, 190, 222, 254, 270, 278, 282, 318, 326, 330, 374, 378, 382, 402, 446, 474, 510, 542, 558, 566, 570, 638, 654, 662, 666, 750, 758, 762, 766, 806, 810, 834, 894, 950, 954, 978

Offset

1,2

References

C. Pickover, Computers and the Imagination, St. Martin's Press, NY, 1991, p. 353.

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

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

R. G. Wilson, V, Letter to N. J. A. Sloane, Aug. 1992

Mathematica

Take[ Sort[ Flatten[ NestList[{2#+2, 6#+6} &, 1, 8]]], 55] (* Wouter L.J. Meeussen Mar 06 2005 *)

Prog

(PARI) list(lim)=my(v=List([1]), x=1, X=4, y=1, Y=12, m); lim\=1; while((m=min(X, Y))<=lim, listput(v, m); if(m==X, X=v[x++]*2+2); if(m==Y, Y=v[y++]*6+6)); Vec(v) \\ Charles R Greathouse IV, Apr 15 2020

Crossrefs

Cf. A060031.

Sequence in context: A080285 A138628 A050868 * A352213 A175436 A354024

Adjacent sequences: A007316 A007317 A007318 * A007320 A007321 A007322

Keyword

nonn,easy

Author

N. J. A. Sloane, Mira Bernstein

Extensions

Corrected and extended by Larry Reeves (larryr(AT)acm.org), Apr 20 2001

Status

approved