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A122602 a(1) = 1; a(2) = 0; a(3) = 0; a(4) = 0; a(5) = 0; a(6) = 0; a(7) = 0; a(8) = 0; a(9) = 0; a(10) = 0; a(n) = a(n - 1) + 9a(n - 2) - 8a(n - 3) - 28a(n - 4) + 21a(n - 5) + 35a(n - 6) - 20a(n - 7) - 15a(n - 8) + 5a(n - 9) + a(n - 10) for n >= 11. +0
1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 10, 11, 65, 77, 350, 440, 1700, 2244, 7752, 10659, 33915, 48279, 144210, 211508, 600875, 904475, 2466750, 3798795, 10015005, 15737864, 40320149, 64512209, 161280568, 262255753, 641885440, 1059105390, 2544612396 (list; graph; listen)
OFFSET

1,13

REFERENCES

P. Steinbach, Field Guide to Simple Graphs. Design Lab, Albuquerque NM, 1990.

MAPLE

a[1]:=1: a[2]:=0: a[3]:=0: a[4]:=0: a[5]:=0: a[6]:=0: a[7]:=0: a[8]:=0: a[9]:=0: a[10]:=0: for n from 11 to 39 do a[n]:=a[n-1]+9*a[n-2]-8*a[n-3]-28*a[n-4]+21*a[n-5]+35*a[n-6]-20*a[n-7]-15*a[n-8]+5*a[n-9]+a[n-10] od: seq(a[n], n=1..39);

MATHEMATICA

M = {{0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 5, -15, -20, 35, 21, -28, -8, 9, 1}}; v[1] = {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}; v[n_] := v[n] = M.v[n - 1] a = Table[Floor[v[n][[1]]], {n, 1, 50}]

CROSSREFS

Cf. A066170.

Sequence in context: A041210 A042413 A041212 this_sequence A037958 A041214 A086457

Adjacent sequences: A122599 A122600 A122601 this_sequence A122603 A122604 A122605

KEYWORD

nonn

AUTHOR

Roger Bagula and Gary Adamson (rlbagulatftn(AT)yahoo.com), Sep 20 2006

EXTENSIONS

Edited by njas, Oct 08 2006

page 1

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.


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