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A241202
Beginning of a polynomial relation of degree n in n+2 terms in the first half of Pascal's triangle. See A241201.
1
1, 2, 26, 9, 149, 489
OFFSET
1,2
COMMENTS
Is this sequence finite?
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]]
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).
Sequence in context: A056948 A292359 A035420 * A278479 A351921 A374183
KEYWORD
nonn,more
AUTHOR
T. D. Noe, Apr 21 2014
STATUS
approved