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A142968
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Fifth column (m=4) of triangle A142963 divided by 16=2^4.
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4
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1, 179, 5280, 82610, 919615, 8284857, 64730022, 457217400, 2999230965, 18608607535, 110625457964, 636103699038, 3562753619915, 19541111960965, 105392471360850, 560747327119908, 2950726075955265, 15387821226034875, 79656442803398680, 409857988825489610
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n)= A142693(n+5,3)/2^4.
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Feb 20 2009: (Start)
a(n) = 35a(n-1)-560a(n-2)+5432a(n-3)-35714a(n-4)+168542a(n-5)-589632a(n-6)+1556776a(n-7)-3126949a(n-8)+4777591a(n-9)-5506936a(n-10)+4703032a(n-11)-2881136a(n-12)+1195632a(n-13)-300672a(n-14)+34560a(n-15)
a(n) = (1155/8)+(472/3)*n-5544*2^n+(120285/4)*3^n-49280*4^n+(196875/8)*5^n-64*2^n*n^3-864*2^n*n^2-3824*2^n*n+(187/3)*n^2+1215*3^n*n^2+12150*3^n*n-8960*4^n*n+(32/3)*n^3+(2/3)*n^4
G.f.: (1+144*z-425*z^2-7382*z^3+48451*z^4-96764*z^5-2559*z^6+257002*z^7-312444*z^8+88344*z^9+30240*z^10 )/((1-z)^5*(1-2*z)^4*(1-3*z)^3*(1-4*z)^2*(1-5*z))
(End)
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CROSSREFS
| Column m=3: 8*A142966.
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Feb 20 2009: (Start)
Cf. A156925
Equals A156920(n+4,4)
Equals A156919(n+4,4)/2^n
(End)
Sequence in context: A142855 A069796 A177682 * A168537 A130736 A200955
Adjacent sequences: A142965 A142966 A142967 * A142969 A142970 A142971
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KEYWORD
| nonn,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Sep 15 2008
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