Pascal triangle shifted MacMahon numbers: p(x,n)=If[n < 2, -(-2)^n*(x - 1)^(n + 1)*LerchPhi[x, -n, 1/2], 2*x*(x + 1)^(n - 2) - (-2)^n*(x - 1)^(n + 1)*LerchPhi[x, -n, 1/2]].

A147295

Pascal triangle shifted MacMahon numbers: p(x,n)=If[n < 2, -(-2)^n*(x - 1)^(n + 1)*LerchPhi[x, -n, 1/2], 2*x*(x + 1)^(n - 2) - (-2)^n*(x - 1)^(n + 1)*LerchPhi[x, -n, 1/2]].

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =8a(5) =1a(6) =1a(7) =25a(8) =25a(9) =1a(10) =1a(11) =78a(12) =234a(13) =78a(14) =1a(15) =1a(16) =239a(17) =1688a(18) =1688a(19) =239a(20) =1a(21) =1a(22) =724a(23) =10551a(24) =23560a(25) =10551a(26) =724a(27) =1a(28) =1a(29) =2181

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