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Search: id:A051877
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| 1, 12, 57, 182, 462, 1008, 1974, 3564, 6039, 9724, 15015, 22386, 32396, 45696, 63036, 85272, 113373, 148428, 191653, 244398, 308154, 384560, 475410, 582660, 708435, 855036, 1024947, 1220842
(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.
Herbert John Ryser, Combinatorial Mathematics, "The Carus Mathematical Monographs", No. 14, John Wiley and Sons, 1963, pp. 1-16.
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FORMULA
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a(n)=C(n+4, 4)*(7n+5)/5.
G.f.: (1+6*x)/(1-x)^6.
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MATHEMATICA
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f[n_]:=7*n+1; s1=s2=s3=s4=0; lst={}; Do[a=f[n]; s1+=a; s2+=s1; s3+=s2; s4+=s3; AppendTo[lst, s4], {n, 0, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 25 2009]
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CROSSREFS
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Cf. A051740.
Cf. A093564 ((7, 1) Pascal, column m=5).
Sequence in context: A139256 A123983 A071270 this_sequence A121693 A072259 A167533
Adjacent sequences: A051874 A051875 A051876 this_sequence A051878 A051879 A051880
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KEYWORD
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easy,nonn
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AUTHOR
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Barry E. Williams, Dec 14 1999
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