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Search: id:A034266
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| 0, 1, 15, 99, 435, 1485, 4257, 10725, 24453, 51480, 101530, 189618, 338130, 579462, 959310, 1540710, 2408934, 3677355, 5494401, 8051725, 11593725, 16428555, 22940775, 31605795, 43006275, 57850650, 76993956, 101461140, 132473044
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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A. H. Beiler, Recreations in the Theory of Numbers, Dover, N. Y., 1964, pps. 194-196.
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FORMULA
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a(n)=(7n+8)*C(n+7, 7)/8.
G.f.: x*(1+6*x)/(1-x)^9.
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MATHEMATICA
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f[n_]:=7*n+1; s1=s2=s3=s4=s5=s6=s7=0; lst={}; Do[a=f[n]; s1+=a; s2+=s1; s3+=s2; s4+=s3; s5+=s4; s6+=s5; s7+=s6; AppendTo[lst, s7], {n, 0, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 25 2009]
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CROSSREFS
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a(n)=f(n, 6) where f is given in A034261. Cf. A027818, A053367, A034266.
Cf. A093564 ((7, 1) Pascal, column m=8).
Sequence in context: A108681 A108254 A000973 this_sequence A087661 A163717 A111370
Adjacent sequences: A034263 A034264 A034265 this_sequence A034267 A034268 A034269
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KEYWORD
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easy,nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
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Better description from Barry E. Williams, Jan 25 2000
Corrected and extended Apr 21 2000 - N. J. A. Sloane (njas(AT)research.att.com).
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