A241202 Beginning of a polynomial relation of degree n in n+2 terms in the first half of Pascal's triangle. See A241201.

1, 2, 26, 9, 149, 489

Offset: 1

Author

T. D. Noe, Apr 21 2014

Keywords

• nonn
• more

Comments

Is this sequence finite?

Crossrefs

Cf. A008865 (binomial(n,k) has 3 consecutive terms in a linear relation).

Cf. A062730 (3 terms in arithmetic progression in Pascal's triangle).

Cf. A241199, A241200 (similar, but quadratic).

Programs

Mathematica

t = Table[k = 1; While[b = Binomial[k, Range[0, k/2]]; d = Differences[b, n + 1]; ! MemberQ[d, 0], k++]; {k, Position[d, 0, 1, 1][[1, 1]] - 1}, {n, 6}]; Transpose[t][[2]]