login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A109754 Matrix defined by: a(i,0) = 0, a(i,j) = i*Fibonacci[j-1] + Fibonacci[j], for j > 0; read by antidiagonals. 27

%I

%S 0,0,1,0,1,1,0,1,2,2,0,1,3,3,3,0,1,4,4,5,5,0,1,5,5,7,8,8,0,1,6,6,9,11,

%T 13,13,0,1,7,7,11,14,18,21,21

%N Matrix defined by: a(i,0) = 0, a(i,j) = i*Fibonacci[j-1] + Fibonacci[j], for j > 0; read by antidiagonals.

%C Lower triangular version is at A117915. - _Ross La Haye_, Apr 12 2006

%F a(i, 0) = 0, a(i, j) = i*Fibonacci[j-1] + Fibonacci[j], for j > 0. a(i, 0) = 0, a(i, 1) = 1, a(i, 2) = i+1, a(i, j) = a(i, j-1) + a(i, j-2), for j > 2. G.f. = (x(1+ix))/(1-x-x^2)

%F Sum[a(i-j+1, j), {j, 0, i+1}] - Sum[a(i-j, j), {j, 0, i}] = A001595(i). - _Ross La Haye_, Jun 03 2006

%e {0};

%e {0,1};

%e {0,1,1};

%e {0,1,2,2};

%e {0,1,3,3,3};

%e {0,1,4,4,5,5};

%e {0,1,5,5,7,8,8}

%Y Rows: A000045(j); A000045(j+1), for j > 0; A000032(j), for j > 0; A000285(j-1), for j > 0; A022095(j-1), for j > 0; A022096(j-1), for j > 0; A022097(j-1), for j > 0. Diagonals: a(i, i) = A094588(i); a(i, i+1) = A007502(i+1); a(i, i+2) = A088209(i); Sum[a(i-j, j), {j=0...i}] = A104161(i). a(i, j) = A101220(i, 0, j).

%Y Rows 7 - 19: A022098(j-1), for j > 0; A022099(j-1), for j > 0; A022100(j-1), for j > 0; A022101(j-1), for j > 0; A022102(j-1), for j > 0; A022103(j-1), for j > 0; A022104(j-1), for j > 0; A022106(j-1), for j > 0; A022107(j-1), for j > 0; A022108(j-1), for j > 0; A022109(j-1), for j > 0; A022110(j-1), for j > 0.

%Y a(2^i-2, j+1) = A118654(i, j), for i > 0.

%K nonn,tabl

%O 0,9

%A _Ross La Haye_, Aug 11 2005; corrected Apr 14 2006

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified December 20 21:34 EST 2014. Contains 252289 sequences.