A gap prime-type triangular sequence of coefficients: gap(n)=Prime[n+1]-Prime[n]; t(n,m)=If[n == m == 0, 1, If[m == 0, ((Prime[n] + gap[n])^ n + (Prime[n] - gap[n])^n)/2, ((Prime[n] + gap[n]*Sqrt[Prime[m]])^n + (Prime[n] - gap[n]*Sqrt[Prime[m]])^n)/2]].

A141575

A gap prime-type triangular sequence of coefficients: gap(n)=Prime[n+1]-Prime[n]; t(n,m)=If[n == m == 0, 1, If[m == 0, ((Prime[n] + gap[n])^ n + (Prime[n] - gap[n])^n)/2, ((Prime[n] + gap[n]*Sqrt[Prime[m]])^n + (Prime[n] - gap[n]*Sqrt[Prime[m]])^n)/2]].

Terms

    a(0) =1a(1) =2a(2) =2a(3) =13a(4) =17a(5) =21a(6) =185a(7) =245a(8) =305a(9) =425a(10) =7361a(11) =12833a(12) =18817a(13) =32321a(14) =47873a(15) =215171a(16) =271051a(17) =328691a(18) =449251a(19) =576851a(20) =853171a(21) =12334505a(22) =21164697a(23) =31341961a(24) =55836009a(25) =86013257a(26) =164203785a(27) =212610281a(28) =532365557a(29) =659940697

External references