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Search: id:A053296
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| 1, 8, 37, 129, 376, 967, 2267, 4950, 10220, 20175, 38403, 70954, 127921, 226007, 392688, 672959, 1140260, 1914166, 3189022, 5280288, 8699540, 14275838, 23352118, 38102976, 62048869, 100888126, 163843187, 265838881
(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+7-i, n-2i; i=0 to [n/2]}; n >= 0; [x]=greatest integer in x.
a(n)=Sum_{k=1..n}{C(n-k+7,k+6)}, 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+6,6); n >= 0; a(-1)=0.
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MATHEMATICA
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lst={}; s0=s1=s2=s3=s4=s5=s6=0; Do[s0+=a[n]; s1+=s0; s2+=s1; s3+=s2; s4+=s3; s5+=s4; s6+=s5; AppendTo[lst, s6], {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 14 of triangle A011794.
Sequence in context: A110215 A052387 A001780 this_sequence A055799 A035038 A111645
Adjacent sequences: A053293 A053294 A053295 this_sequence A053297 A053298 A053299
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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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