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A108982
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Inverse binomial of A003949.
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0
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1, 6, 29, 146, 729, 3646, 18229, 91146, 455729, 2278646, 11393229, 56966146, 284830729, 1424153646, 7120768229, 35603841146, 178019205729, 890096028646, 4450480143229, 22252400716146, 111262003580729, 556310017903646
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Let A be the Hessenberg matrix of order n, defined by: A[1,j]=1, A[i,i]:=-3, A[i,i-1]=-1, and A[i,j]=0 otherwise. Then, for n>=1, a(n-1)=charpoly(A,2). [From Milan R. Janjic (agnus(AT)blic.net), Jan 27 2010]
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FORMULA
| a(n) = 4a(n-1) + 5a(n-2), a(0) = 1, a(1) = 6.
a(2n) = 5a(2n-1) - 1; a(2n+1) = 5a(2n) + 1.
a(n)=-1/6*[(-1)^n-7*5^n], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Nov 19 2008]
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CROSSREFS
| Sequence in context: A012325 A125785 A186651 * A059724 A000708 A027248
Adjacent sequences: A108979 A108980 A108981 * A108983 A108984 A108985
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KEYWORD
| nonn
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jul 23 2005
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EXTENSIONS
| Corrected and extended by T. D. Noe (noe(AT)sspectra.com), Nov 07 2006
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