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A026898
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Sum((n-k+1)^k, k=0..n).
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11
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1, 2, 4, 9, 23, 66, 210, 733, 2781, 11378, 49864, 232769, 1151915, 6018786, 33087206, 190780213, 1150653921, 7241710930, 47454745804, 323154696185, 2282779990495, 16700904488706, 126356632390298
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Row sums of A004248, A009998, A009999.
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FORMULA
| G.f.: Sum_{n>=0} x^n/(1 - (n+1)*x). [From Paul D. Hanna, Sep 13 2011]
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MAPLE
| a:=n->sum (j^(n-j), j=1..n): seq(a(n), n=1..23); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 18 2009]
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PROG
| (PARI) {a(n)=polcoeff(sum(m=0, n, x^m/(1-(m+1)*x+x*O(x^n))), n)}
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CROSSREFS
| Cf. A038125, A062810. A026898(n) = A003101(n)+1
First differences are in A047970. First differences of A103439.
Antidiagonal sums of array A003992.
Sequence in context: A129698 A117419 A124461 * A088930 A089844 A113997
Adjacent sequences: A026895 A026896 A026897 * A026899 A026900 A026901
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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