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A082289
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Expansion of x^4*(2+x)/((1+x)*(1-x)^5).
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4
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2, 9, 26, 59, 116, 206, 340, 530, 790, 1135, 1582, 2149, 2856, 3724, 4776, 6036, 7530, 9285, 11330, 13695, 16412, 19514, 23036, 27014, 31486, 36491, 42070, 48265, 55120, 62680, 70992, 80104, 90066, 100929, 112746, 125571, 139460, 154470
(list; graph; refs; listen; history; internal format)
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OFFSET
| 4,1
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 4..10000
Index entries for two-way infinite sequences
Index to sequences with linear recurrences with constant coefficients, signature (4,-5,0,5,-4,1).
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FORMULA
| G.f.: x^4*(2+x)/((1+x)*(1-x)^5).
a(n) = 3*a(n-1)-2*a(n-2)-2*a(n-3)+3*a(n-4)-a(n-5)+3. If sequence is also defined for n <= 3 by this equation, then a(n)=0 for 0 <= n <= 3 and a(n) = A070893(-n) for n<0.
a(n) = A082290(2*n-7).
a(n) = (1/96)*(2*(n-2)*n*(3*n^2-10*n+4)+3*(-1)^n-3). a(n)-a(n-2) = A006002(n-3) for n>5. - Bruno Berselli, Aug 26 2011
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PROG
| (PARI) a(n)=polcoeff(if(n>0, x^4*(2+x)/((1+x)*(1-x)^5), x*(1+2*x)/((1+x)*(1-x)^5))+x*O(x^abs(n)), abs(n))
(MAGMA) [(1/96)*(2*(n-2)*n*(3*n^2-10*n+4)+3*(-1)^n-3): n in [4..50]]; // Vincenzo Librandi, Aug 29 2011
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CROSSREFS
| Cf. A070893, A082290.
Cf. A045947 (which contains the first differences). - Bruno Berselli, Aug 26 2011
Sequence in context: A101051 A085070 A083383 * A014150 A136429 A091469
Adjacent sequences: A082286 A082287 A082288 * A082290 A082291 A082292
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KEYWORD
| nonn,easy
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AUTHOR
| Michael Somos, Apr 07 2003
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