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A078495 a(n)=(a(n-1)*a(n-6)+a(n-3)*a(n-4))/a(n-7). Somos-7 variation. +0
1
1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 6, 12, 24, 72, 144, 288, 864, 3456, 10368, 41472, 124416, 497664, 2985984, 17915904, 71663616, 429981696, 2579890176, 20639121408, 185752092672, 1486016741376, 8916100448256, 106993205379072 (list; graph; listen)
OFFSET

0,8

REFERENCES

G. Everest, A. van der Poorten, I. Shparlinski and T. Ward, Recurrence Sequences, Amer. Math. Soc., 2003; see esp. p. 255.

LINKS

T. D. Noe, Table of n, a(n) for n=0..100

Index entries for two-way infinite sequences

FORMULA

a(n)=144*a(n-6)*a(n-10)/a(n-16).

PROGRAM

(PARI) a(n)=if(n<0, a(6-n), if(n<7, 1, (a(n-1)*a(n-6)+a(n-3)*a(n-4))/a(n-7)))

(PARI) a(n)=2^(b(n-9)+b(n-7))*3^b(n-8); b(n)=(n^2+10*n+1-n%2*13)\60+1

CROSSREFS

Cf. A025795(n)=b(n), A006723.

Sequence in context: A018343 A102462 A018369 this_sequence A161701 A038504 A018405

Adjacent sequences: A078492 A078493 A078494 this_sequence A078496 A078497 A078498

KEYWORD

nonn,easy,nice

AUTHOR

Michael Somos, Nov 26 2002

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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