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Search: id:A107893
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A107893 Triangle read by rows, related to A055129 (repunits in base k). +0
1
1, 2, 1, 3, 4, 2, 4, 11, 14, 6, 5, 26, 64, 66, 24, 6, 57, 244, 456, 384, 120, 7, 120, 846, 2556, 3744, 2640, 720, 8, 247, 2778, 12762, 28944, 34560, 20880, 5040 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Second column of A107893 = Eulerian numbers (A000295) starting with 1: 1, 4, 11, 26, 57... Rightmost term in row n = (n-1)!

FORMULA

n-th row = inverse binomial transform of n-th column of A055129; where the latter are generated from f(x) = x^(n-1) + x^(n-2) + ...+ x + 1; (x=1, 2, 3...)

EXAMPLE

Binomial transform of Row 4 in the form: (4, 11, 14, 6, 0, 0, 0...) = Row 4 of A055129: 4, 15, 40, 85, ...which is generated from f(x) = x^3 + x^2 + x + 1; (x=1,2,3...).

CROSSREFS

Cf. A055129, A000295.

Sequence in context: A102756 A086614 A108959 this_sequence A131987 A120874 A112382

Adjacent sequences: A107890 A107891 A107892 this_sequence A107894 A107895 A107896

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), May 26 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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