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Search: id:A056541
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| A056541 |
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a(n) = 2n*a(n-1) + 1 with a(0)=0. |
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+0
2
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| 0, 1, 5, 31, 249, 2491, 29893, 418503, 6696049, 120528883, 2410577661, 53032708543, 1272785005033, 33092410130859, 926587483664053, 27797624509921591, 889523984317490913, 30243815466794691043
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) =floor[(sqrt(e)-1)*2^n*n! ] =A010844(n)-A000165(n)
a(n) = Sum[P(n, k) * 2^k {k=0 to n-1}] - Ross La Haye (rlahaye(AT)new.rr.com), Sep 15 2004
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EXAMPLE
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a(3)=2*3*a(2)+1=6*5+1=31
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MATHEMATICA
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s=0; lst={s}; Do[s+=s++n; AppendTo[lst, Abs[s]], {n, 1, 5!, 2}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 23 2008]
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CROSSREFS
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Cf. A002627.
Sequence in context: A082579 A024451 A046852 this_sequence A126121 A167137 A000556
Adjacent sequences: A056538 A056539 A056540 this_sequence A056542 A056543 A056544
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KEYWORD
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easy,nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jun 20 2000
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jul 04 2000
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