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A189046
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a(n) = lcm(n,n+1,n+2,n+3,n+4,n+5)/60.
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1
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0, 1, 7, 14, 42, 42, 462, 462, 858, 3003, 1001, 4004, 6188, 18564, 27132, 3876, 27132, 74613, 100947, 67298, 17710, 230230, 296010, 188370, 237510, 118755, 736281, 453096, 553784, 1344904, 324632
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OFFSET
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0,3
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COMMENTS
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a(n) mod 2 has a period of 8,repeating[0,1,1,0,0,0,0,0]
a(n)= binomial(n+5,6)/(gcd(n,5)*(A021913(n-1)+1))
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LINKS
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Nathaniel Johnston, Table of n, a(n) for n = 0..2000
Index entries for linear recurrences with constant coefficients, order 105.
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FORMULA
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a(n)= n*(n+1)*(n+2)*(n+3)*(n+4)*(n+5)*(4*(n^4 mod 5)+1)/(1800*((n^3 mod 4)+((n-1)^3 mod 4)+1)).
a(n)= binomial(n+5,6)/(gcd(n,5)*floor(((n-1) mod 4)/2+1))- Gary Detlefs, Apr 22 2011
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MAPLE
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seq(lcm(n, n+1, n+2, n+3, n+4, n+5)/60, n=0..30)
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MATHEMATICA
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Table[(LCM@@(n+Range[0, 5]))/60, {n, 0, 40}] (* Harvey P. Dale, Apr 17 2011 *)
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PROG
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(PARI) a(n)=lcm([n..n+5])/60 \\ Charles R Greathouse IV, Sep 30 2016
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CROSSREFS
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Cf. A000217 = lcm(n,n+1)/2, A067046, A067047, A067048.
Sequence in context: A161814 A333594 A067048 * A098328 A062098 A045759
Adjacent sequences: A189043 A189044 A189045 * A189047 A189048 A189049
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KEYWORD
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nonn,easy
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AUTHOR
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Gary Detlefs, Apr 15 2011
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STATUS
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approved
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