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Search: id:A053295
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| 1, 7, 29, 92, 247, 591, 1300, 2683, 5270, 9955, 18228, 32551, 56967, 98086, 166681, 280271, 467301, 773906, 1274856, 2091266, 3419252, 5576298, 9076280, 14750858, 23945893, 38839257, 62955061, 101995694
(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. 189, 194-196.
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FORMULA
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a(n)=sum{C(n+6-i, n-2i; i=0 to [n/2]}; n >= 0; [x]=greatest integer in x.
a(n)=Sum_{k=1..n}{C(n-k+6,k+5)}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Apr 16 2008
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EXAMPLE
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a(n)=a(n-1)+a(n-2)+C(n+5,5); n >= 0; a(-1)=0.
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MATHEMATICA
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lst={}; s0=s1=s2=s3=s4=s5=0; Do[s0+=a[n]; s1+=s0; s2+=s1; s3+=s2; s4+=s3; s5+=s4; AppendTo[lst, s5], {n, 0, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 10 2008]
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CROSSREFS
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Cf. A053739, A014166 and A000045.
Right-hand column 12 of triangle A011794.
Sequence in context: A114043 A166189 A001779 this_sequence A055798 A002664 A042609
Adjacent sequences: A053292 A053293 A053294 this_sequence A053296 A053297 A053298
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KEYWORD
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easy,nonn
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AUTHOR
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Barry E. Williams, Mar 04 2000
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