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%I #3 Mar 30 2012 18:36:39
%S 1,1,4,30,344,5470,113892,2988426,96098256,3706301286,168494060060,
%T 8900937960706,539861090952504,37212541117261614,2889625585310057076,
%U 250853703625289217690,24183224498531542003616
%N (n+1)*a(n) equals the (n+1)-th term of the n-th binomial transform of this sequence.
%e Note the diagonal {(n+1)*a(n)} in array of iterated binomial transforms of this sequence:
%e [1, 1, 4, 30, 344, 5470, 113892, 2988426,..]
%e [1,_2, 7, 46, 493, 7536, 152539, 3913722,..]
%e [1, 3,_12, 74, 728, 10542, 206188, 5158778,..]
%e [1, 4, 19,_120, 1109, 15058, 282039, 6851820,..]
%e [1, 5, 28, 190,_1720, 22014, 391732, 9185754,..]
%e [1, 6, 39, 290, 2669,_32820, 553867, 12457646,..]
%e [1, 7, 52, 426, 4088, 49486,_797244, 17128362,..]
%e [1, 8, 67, 604, 6133, 74742, 1164823,_23907408,..]
%K nonn
%O 0,3
%A _Paul D. Hanna_, Nov 14 2003
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