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A187637 T(n,k)=Number of n-step self-avoiding walks on a k-long line summed over all starting positions 0
1, 2, 0, 3, 2, 0, 4, 4, 0, 0, 5, 6, 2, 0, 0, 6, 8, 4, 0, 0, 0, 7, 10, 6, 2, 0, 0, 0, 8, 12, 8, 4, 0, 0, 0, 0, 9, 14, 10, 6, 2, 0, 0, 0, 0, 10, 16, 12, 8, 4, 0, 0, 0, 0, 0, 11, 18, 14, 10, 6, 2, 0, 0, 0, 0, 0, 12, 20, 16, 12, 8, 4, 0, 0, 0, 0, 0, 0, 13, 22, 18, 14, 10, 6, 2, 0, 0, 0, 0, 0, 0, 14, 24, 20, 16 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

.1.2.3.4.5..6..7..8..9.10.11.12.13.14

.0.2.4.6.8.10.12.14.16.18.20.22.24

.0.0.2.4.6..8.10.12.14.16.18.20

.0.0.0.2.4..6..8.10.12.14.16

.0.0.0.0.2..4..6..8.10.12

.0.0.0.0.0..2..4..6..8

.0.0.0.0.0..0..2..4

.0.0.0.0.0..0..0

.0.0.0.0.0..0

.0.0.0.0.0

LINKS

Table of n, a(n) for n=1..95.

FORMULA

Empirical: T(1,k) = k

Empirical: T(2,k) = 2*k - 2

Empirical: T(3,k) = 2*k - 4 for k>1

Empirical: T(4,k) = 2*k - 6 for k>2

Empirical: T(5,k) = 2*k - 8 for k>3

Empirical: T(6,k) = 2*k - 10 for k>4

Empirical: T(7,k) = 2*k - 12 for k>5

Empirical: T(8,k) = 2*k - 14 for k>6

CROSSREFS

Sequence in context: A213944 A127479 A284124 * A141432 A115241 A154559

Adjacent sequences:  A187634 A187635 A187636 * A187638 A187639 A187640

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 12 2011

STATUS

approved

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Last modified February 22 17:51 EST 2018. Contains 299469 sequences. (Running on oeis4.)