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A039756
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Triangle of B-analogues of Stirling numbers of 2nd kind.
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1
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1, 1, 1, 1, 4, 1, 1, 9, 13, 1, 1, 16, 58, 40, 1, 1, 25, 170, 330, 121, 1, 1, 36, 395, 1520, 1771, 364, 1, 1, 49, 791, 5075, 12411, 9219, 1093, 1, 1, 64, 1428, 13776, 58086, 96096, 47188, 3280, 1, 1, 81, 2388, 32340, 209622, 618870, 719860, 239220, 9841
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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LINKS
| R. Suter, Two analogues of a classical sequence, J. Integer Sequences, Vol. 3 (2000), #P00.1.8.
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FORMULA
| Sum a(n, n-k)x^n*y^k/n! = exp(x + y/2 (exp(2 x) - 1))
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EXAMPLE
| 1; 1,1; 1,4,1; 1,9,13,1; 1,16,58,40,1; 1,25,170,330,121,1; ...
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PROG
| (PARI) T(n, k)=if(k<0|k>n, 0, n!*polcoeff(polcoeff(exp(x*y+(exp(2*x*y+x*O(x^n))-1)/(2*y)), n), k))
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CROSSREFS
| Sequence in context: A155451 A189280 A168621 * A126065 A126062 A157108
Adjacent sequences: A039753 A039754 A039755 * A039757 A039758 A039759
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KEYWORD
| nonn,tabl
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AUTHOR
| Ruedi Suter (suter(AT)math.ethz.ch)
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