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Search: id:A054470
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A054470 Partial sums of A054469. +0
2
1, 8, 36, 121, 339, 838, 1891, 3983, 7953, 15225, 28183, 50779, 89518, 155053, 264767, 446952, 747572, 1241207, 2048762, 3366122, 5510518, 8995550, 14652578, 23827138, 38696751, 62785150, 101794318, 164950755, 267183785, 432650132 (list; graph; listen)
OFFSET

0,2

REFERENCES

A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.

A. F. Horadam,Special Properties of the Sequence W(n){a,b; p,q}, Fib.Quart., Vol. 5,No.5(1967), pps. 424-434.

A. K. Whitford, Binet's Formula Generalized, Fib.Quart., Vol. 15, No. 1(1977), pps. 21,24,29.

FORMULA

a(n)=a(n-1)+a(n-2)+(2n+5)*C(n+4, 4)/5; a(-n)=0.

a(n)=sum{C(n+6-i, n+2-2i); i=1 to [(n+2)/2]}+2*sum{C(n+6-i, n+1-2i); i=1 to [(n+1)/2]; where [x]=greatest integer in x.

CROSSREFS

Cf. A001891, A001911 and A054469.

Right-hand column 13 of triangle A011794.

Sequence in context: A008490 A023033 A000580 this_sequence A131123 A055910 A022573

Adjacent sequences: A054467 A054468 A054469 this_sequence A054471 A054472 A054473

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Mar 31 2000

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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