A164984 - OEIS

%I #11 Nov 03 2016 07:24:22

%S 1,1,1,3,3,1,5,9,5,1,11,23,19,7,1,21,57,61,33,9,1,43,135,179,127,51,

%T 11,1,85,313,493,433,229,73,13,1,171,711,1299,1359,891,375,99,15,1,

%U 341,1593,3309,4017,3141,1641,573,129,17,1

%N Odd (Jacobsthal) triangle

%C Alternate diagonal sums give A008619.

%C Diagonals sums give A097076. - _Philippe Deléham_, Oct 13 2013

%F Excel formula: C6=2*C4+C5+B5+B4 with C5=a(1)=1 and C6=a(2)

%F T(n,k) = T(n-1,k) + T(n-1,k-1) + 2*T(n-2,k) + T(n-2,k-1). - _Philippe Deléham_, Oct 13 2013

%e 1

%e 1,1

%e 3,3,1

%e 5,9,5,1

%e 11,23,19,7,1

%e 21,57,61,33,9,1

%e Pascal-like triangle based on a right-triangular sum (with the top multiplied by 2): For n=13 a(13)=2*a(3)+a(5)+a(8)+a(9)= 2+3+9+5=19.

%Y Cf. A164981, A001045, A005408, A015518 (row sums), A008619

%Y Cf. A008288, A007318.

%K nonn,tabl

%O 1,4

%A _Mark Dols_, Sep 03 2009, Sep 06 2009