A099967 Second column of triangle in A099961.
1, 2, 3, 5, 10, 23, 51, 128, 386, 1092, 3370, 12458, 43037, 158638, 691999, 2827035, 12150430, 60980759, 287737037, 1414689552, 8021603122, 42939104470, 237864297110, 1502870474645, 8999347646633, 55484973357830
Offset: 0
Programs
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Maple
with(linalg):rev:=proc(a) local n, p; n:=vectdim(a): p:=i->a[n+1-i]: vector(n,p) end: ps:=proc(a) local n, q; n:=vectdim(a): q:=i->sum(a[j],j=1..i): vector(n,q) end: pss:=proc(a) local n, q; n:=vectdim(a): q:=proc(i) if i<=n then sum(a[j],j=1..i) else sum(a[j],j=1..n) fi end: vector(n+1,q) end: R[0]:=vector(1,1): for n from 1 to 31 do if n mod 3 = 0 or n mod 3 = 1 then R[n]:=ps(rev(R[n-1])) else R[n]:=pss(rev(R[n-1])) fi od: seq(R[n][2],n=2..31); # Emeric Deutsch, Nov 16 2004
Extensions
More terms from Emeric Deutsch, Nov 16 2004