Define two triangular arrays by: B(0,0)=C(0,0)=1, B(0,r)=C(0,r)=0 for r>0, C(t,-1)=C(t,0); and for t,r >= 0, B(t+1,r)=C(t,r-1)+2C(t,r)-B(t,r), C(t+1,r)=B(t+1,r)+2B(t+1,r+1)-C(t,r). Sequence gives array C(t,r) read by rows.

A177020

Define two triangular arrays by: B(0,0)=C(0,0)=1, B(0,r)=C(0,r)=0 for r>0, C(t,-1)=C(t,0); and for t,r >= 0, B(t+1,r)=C(t,r-1)+2C(t,r)-B(t,r), C(t+1,r)=B(t+1,r)+2B(t+1,r+1)-C(t,r). Sequence gives array C(t,r) read by rows.

Terms

    a(0) =1a(1) =3a(2) =1a(3) =12a(4) =5a(5) =1a(6) =53a(7) =25a(8) =7a(9) =1a(10) =247a(11) =126a(12) =42a(13) =9a(14) =1a(15) =1192a(16) =642a(17) =239a(18) =63a(19) =11a(20) =1a(21) =5897a(22) =3306a(23) =1330a(24) =400a(25) =88a(26) =13a(27) =1a(28) =29723a(29) =17187

External references