%I A036355
%S A036355 1,1,1,2,2,2,3,5,5,3,5,10,14,10,5,8,20,32,32,20,8,13,38,71,84,71,38,13,
%T A036355 21,71,149,207,207,149,71,21,34,130,304,478,556,478,304,130,34,55,235,
%U A036355 604,1060,1390,1390,1060,604,235,55,89,420,1177,2272,3310,3736,3310
%N A036355 Fibonacci-Pascal triangle read by rows.
%F A036355 T(n, m)=T'(n-1, m-1)+T'(n-2, m-2)+T'(n-1, m)+T'(n-2, m), where T'(n,
m)=T(n, m) if 0<=m<=n and n >= 0 and T'(n, m)=0 otherwise. Initial
term T(0, 0)=1.
%F A036355 G.f.: 1/(1-(1+y)*x-(1+y^2)*x^2). - Vladeta Jovovic (vladeta(AT)eunet.rs),
Oct 11 2003
%e A036355 1; 1,1; 2,2,2; 3,5,5,3; 5,10,14,10,5; ...
%Y A036355 Row sums form sequence A002605. T(n, 0) forms the Fibonacci sequence
(A000045). T(n, 1) forms sequence A001629.
%Y A036355 Derived sequences: A036681, A036682, A036683, A036684, A036692.
%Y A036355 Sequence in context: A114639 A071867 A126337 this_sequence A095972 A091974
A029073
%Y A036355 Adjacent sequences: A036352 A036353 A036354 this_sequence A036356 A036357
A036358
%K A036355 nonn,tabl,easy,nice
%O A036355 0,4
%A A036355 Floor van Lamoen (fvlamoen(AT)hotmail.com), Dec 28 1998
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