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A052150 Partial sums of A000340, second partial sums of A003462. 2
1, 6, 24, 82, 261, 804, 2440, 7356, 22113, 66394, 199248, 597822, 1793557, 5380776, 16142448, 48427480, 145282593, 435847950, 1307544040, 3922632330, 11767897221, 35303691916, 105911076024, 317733228372, 953199685441 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

REFERENCES

A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 189, 194-196.

P. Ribenhoim, The Little Book of Big Primes, Springer-Verlag,N.Y.,1991, p. 53.

FORMULA

a(n)={(3^(n+3))-[2*(n^2) + 12n +19]}/8.

a(n)=sum{k=0..n, binomial(n+3, k+3)2^k} - Paul Barry (pbarry(AT)wit.ie), Aug 20 2004

EXAMPLE

a(n)=3a(n-1)+C(n+2,2); a(0)=1.

CROSSREFS

Cf. A003462 and A000340.

Sequence in context: A068711 A047790 A133474 * A118043 A166060 A124807

Adjacent sequences:  A052147 A052148 A052149 * A052151 A052152 A052153

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Jan 23 2000

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Last modified February 17 04:58 EST 2012. Contains 205985 sequences.