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A071239 n*(n+1)*(n^2+2)/6. +0
1
0, 1, 6, 22, 60, 135, 266, 476, 792, 1245, 1870, 2706, 3796, 5187, 6930, 9080, 11696, 14841, 18582, 22990, 28140, 34111, 40986, 48852, 57800, 67925, 79326, 92106, 106372, 122235, 139810, 159216, 180576, 204017, 229670, 257670, 288156, 321271, 357162, 395980 (list; graph; listen)
OFFSET

0,3

COMMENT

Number of binary pattern classes with 4 black beads in the (2,n)-rectangular grid; two patterns are in the same class if one of them can be obtained by reflexion or rotation of the other one. [From Yosu Yurramendi (yosu.yurramendi(AT)ehu.es), Sep 12 2008]

REFERENCES

T. A. Gulliver, Sequences from Arrays of Integers, Int. Math. Journal, Vol. 1, No. 4, pp. 323-332, 2002.

MAPLE

a:=n->add(n+add(binomial(n, 2), j=2..n), j=2..n):seq(a(n)/3, n=1..40); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 26 2008]

CROSSREFS

Cf. A132390 [From Yosu Yurramendi (yosu.yurramendi(AT)ehu.es), Sep 12 2008]

Sequence in context: A081441 A127760 A066188 this_sequence A105450 A011888 A081282

Adjacent sequences: A071236 A071237 A071238 this_sequence A071240 A071241 A071242

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jun 12 2002

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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