%I A135597
%S A135597 1,1,1,1,1,2,1,1,3,3,1,1,4,7,5,1,1,5,13,17,8,1,1,6,21,43,41,13,1,1,7,31,
%T A135597 89,142,99,21,1,1,8,43,161,377,469,239,34,1,1,9,57,265,836,1597,1549,
%U A135597 577,55,1,1,10,73,407,1633,4341,6765,5116,1393,89,1,1,11,91,593,2906
%N A135597 Square array read by antidiagonals: row m (m >= 1) satisfies b(0) = b(1) 
               = 1; b(n) = m*b(n-1) + b(n-2):
%F A135597 O.g.f. row m: (mx-x-1)/(x^2+mx-1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Apr 21 2008
%e A135597 Array begins:
%e A135597 1 1 2 3 5 8 13 21 34 55 ...
%e A135597 1 1 3 7 17 41 99 239 577 1393 ...
%e A135597 1 1 4 13 43 142 469 1549 5116 16897 ...
%e A135597 1 1 5 21 89 377 1597 6765 28657 121393 ...
%e A135597 1 1 6 31 161 836 4341 22541 117046 607771 ...
%e A135597 1 1 7 43 265 1633 10063 62011 382129 2354785 ...
%e A135597 1 1 8 57 407 2906 20749 148149 1057792 7552693 ...
%e A135597 1 1 9 73 593 4817 39129 317849 2581921 20973217 ...
%p A135597 A135597 := proc(m,c) coeftayl( (m*x-x-1)/(x^2+m*x-1),x=0,c) ; end: for 
               d from 1 to 15 do for c from 0 to d-1 do printf("%d,",A135597(d-c,
               c)) ; od: od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 
               21 2008
%Y A135597 Cf. A121875, A000045, A001333, etc.
%Y A135597 Rows are A001333, A015448, A015449, A015451, A015453, A015454 etc.
%Y A135597 Sequence in context: A053534 A104881 A104878 this_sequence A073134 A026692 
               A114202
%Y A135597 Adjacent sequences: A135594 A135595 A135596 this_sequence A135598 A135599 
               A135600
%K A135597 nonn,tabl,easy
%O A135597 1,6
%A A135597 N. J. A. Sloane (njas(AT)research.att.com), Mar 02 2008
%E A135597 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 21 2008