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1, 11, 45, 125, 280, 546, 966, 1590, 2475, 3685, 5291, 7371, 10010, 13300, 17340, 22236, 28101, 35055, 43225, 52745, 63756, 76406, 90850, 107250, 125775, 146601, 169911, 195895, 224750, 256680, 291896, 330616, 373065, 419475, 470085, 525141
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
Murray R.Spiegel,Calculus of Finite Differences and Difference Equations,"Schaum's Outline Series",McGraw-Hill,1971, pps. 10-20, 79-94.
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FORMULA
| a(n)=C(n+3, 3)*(7n+4)/4
a(n)= (7*n+4)*binomial(n+3, 3)/4. G.f.: (1+6*x)/(1-x)^5.
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MATHEMATICA
| f[n_]:=7*n+1; s1=s2=s3=0; lst={}; Do[a=f[n]; s1+=a; s2+=s1; s3+=s2; AppendTo[lst, s3], {n, 0, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 25 2009]
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CROSSREFS
| Cf. A007584.
Cf. A093564 ((7, 1) Pascal, column m=4). Partial sums of A007584.
Sequence in context: A022280 A154106 A057813 * A144932 A072262 A110114
Adjacent sequences: A051737 A051738 A051739 * A051741 A051742 A051743
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KEYWORD
| easy,nonn
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AUTHOR
| Barry E. Williams, Dec 07 1999
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Dec 08 1999
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