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Search: id:A050403
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| 1, 13, 70, 252, 714, 1722, 3696, 7260, 13299, 23023, 38038, 60424, 92820, 138516, 201552, 286824, 400197, 548625, 740278, 984676, 1292830, 1677390, 2152800, 2735460, 3443895, 4298931, 5323878, 6544720
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
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FORMULA
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a(n)=C(n+5, 5)*(7n+6)/6.
G.f.: (1+6*x)/(1-x)^7.
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MATHEMATICA
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f[n_]:=7*n+1; s1=s2=s3=s4=s5=0; lst={}; Do[a=f[n]; s1+=a; s2+=s1; s3+=s2; s4+=s3; s5+=s4; AppendTo[lst, s5], {n, 0, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 25 2009]
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CROSSREFS
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Cf. A051877.
Cf. A093564 ((7, 1) Pascal, column m=6).
Sequence in context: A146381 A085461 A081860 this_sequence A031442 A066831 A067382
Adjacent sequences: A050400 A050401 A050402 this_sequence A050404 A050405 A050406
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KEYWORD
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easy,nonn
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AUTHOR
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Barry E. Williams, Dec 21 1999
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EXTENSIONS
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Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 09 2006
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