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

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

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 | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 9 17:46 EST 2016. Contains 278985 sequences.