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A126883
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(2^0)*(2^1)*(2^2)*(2^3)...(2^n)-1 = 2^T_n-1 (cf. A000217).
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2
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0, 1, 7, 63, 1023, 32767, 2097151, 268435455, 68719476735, 35184372088831, 36028797018963967, 7378697629483820643, 302231454903657293676543, 2475880078570760549798248447
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| For n>2 every consecutive pair share at least one factor.
a(n)= A006125(n+1)-1. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 12 2007
Shows how many patterns can be created with 1-color thread while sewing on a button with buttonholes located on the vertices of a convex n-gon. - Ivan N. Ianakiev, Feb 09 2012
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REFERENCES
| Masha Gessen, Perfect Rigor, A Genius and the Mathematical Breakthrough of the Century, Houghton Mifflin Harcourt, 2009, page 38
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MAPLE
| seq(2^(binomial(2+n, n))-1, n=-1..12); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 12 2007
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CROSSREFS
| Sequence in context: A084063 A184141 A152797 * A137810 A036287 A116231
Adjacent sequences: A126880 A126881 A126882 * A126884 A126885 A126886
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KEYWORD
| nonn,changed
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AUTHOR
| Marco Matosic (marcomatosic(AT)hotmail.com), Dec 29 2006
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