Triangle read by rows:e(n,k)=Sum[(-1)^j Binomial[n + 1, j](k + 1 - j)^n, {j, 0, k + 1}]; t(n,m)=(e[n + 1, m]*PartitionsQ[n] + e[n + 1, n - m]*(PartitionsQ[ n - m] + PartitionsQ[m])) - 2.
A156225
Triangle read by rows:e(n,k)=Sum[(-1)^j Binomial[n + 1, j](k + 1 - j)^n, {j, 0, k + 1}]; t(n,m)=(e[n + 1, m]*PartitionsQ[n] + e[n + 1, n - m]*(PartitionsQ[ n - m] + PartitionsQ[m])) - 2.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =10a(5) =1a(6) =3a(7) =42a(8) =42a(9) =3a(10) =3a(11) =128a(12) =262a(13) =128a(14) =3a(15) =5a(16) =340a(17) =1810a(18) =1810a(19) =340a(20) =5a(21) =7a(22) =958a(23) =8335a(24) =19326a(25) =8335a(26) =958a(27) =7a(28) =9a(29) =2468
External references
- oeis: A156225