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Search: id:A099367
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| 0, 1, 49, 2500, 127449, 6497401, 331240000, 16886742601, 860892632649, 43888637522500, 2237459621014849, 114066552034234801, 5815156694124960000, 296458924848338725201, 15113590010571150025249, 770496631614280312562500
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OFFSET
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0,3
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COMMENT
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See the comment in A099279. This is example a=7.
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LINKS
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Index entries for sequences related to Chebyshev polynomials.
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FORMULA
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a(n)= A054413(n-1)^2, n>=1. a(0)=0.
a(n)= 50*a(n-1) + 50*a(n-2) - a(n-3), n>=3; a(0)=0, a(1)=1, a(2)=49.
a(n)= 51*a(n-1) - a(n-2) - 2*(-1)^n, n>=2; a(0)=0, a(1)=1.
a(n)= 2*(T(n, 51/2)-(-1)^n)/53 with twice the Chebyshev's polynomials of the first kind: 2*T(n, 51/2)=A099368(n).
G.f.: x*(1-x)/((1-51*x+x^2)*(1+x)) = x*(1-x)/(1-50*x-50*x^2+x^3).
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CROSSREFS
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Sequence in context: A120999 A087752 A069741 this_sequence A123841 A014773 A132539
Adjacent sequences: A099364 A099365 A099366 this_sequence A099368 A099369 A099370
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 18 2004
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