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A088578
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Numbers of the form n*x^n + (n-1)*x^(n-1) + . . . + x + 1 for x=2.
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1
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1, 3, 11, 35, 99, 259, 643, 1539, 3587, 8195, 18435, 40963, 90115, 196611, 425987, 917507, 1966083, 4194307, 8912899, 18874371, 39845891, 83886083, 176160771, 369098755, 771751939, 1610612739, 3355443203, 6979321859, 14495514627
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| For x=1 this is A000124.
Equals row sums of triangle A144332. Left border of A144332 = A000124. [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 18 2008]
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FORMULA
| (n-1) * 2^(n+1) + 3.
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EXAMPLE
| Sum of reciprocals = 1.469480896985753544533086291..
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PROG
| (PARI) trajpolypn(n1, k) = { s=0; for(x1=1, n1, y1 = polypn2(k, x1); print1(y1", "); s+=1.0/y1; ); print(); print(s) } polypn2(n, p) = { x=n; y=1; for(m=1, p, y=y+m*x^m; ); return(y) }
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CROSSREFS
| Cf. A000124.
A144332 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 18 2008]
Sequence in context: A134326 A094308 A166046 * A027060 A171498 A126939
Adjacent sequences: A088575 A088576 A088577 * A088579 A088580 A088581
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KEYWORD
| nonn
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AUTHOR
| Cino Hilliard (hillcino368(AT)gmail.com), Nov 20 2003
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