login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A001395 Number of (2n+1)-step self-avoiding walks on diamond lattice ending at point with x = 1.
(Formerly M1973 N0782)
6
2, 10, 74, 518, 3934, 29914, 232094, 1812890, 14277886, 113016230, 898797262, 7173454238, 57431351010, 460989676450, 3708603354110, 29893215059758 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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=0..15.

J. L. Martin, The exact enumeration of self-avoiding walks on a lattice, Proc. Camb. Phil. Soc., 58 (1962), 92-101.

CROSSREFS

Cf. A001394, A001396, A001397, A001398, A227715, A227716.

Sequence in context: A243250 A088189 A228609 * A047853 A151387 A192259

Adjacent sequences:  A001392 A001393 A001394 * A001396 A001397 A001398

KEYWORD

nonn,walk,more

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Edited and extended by Joseph Myers, Jul 21 2013

a(12)-a(13) from Sean A. Irvine, Nov 13 2017

a(14)-a(15) from Bert Dobbelaere, Jan 12 2019

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 11 07:18 EST 2019. Contains 329914 sequences. (Running on oeis4.)