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A048488
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a(n) = 6*2^n - 5.
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5
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1, 7, 19, 43, 91, 187, 379, 763, 1531, 3067, 6139, 12283, 24571, 49147, 98299, 196603, 393211, 786427, 1572859, 3145723, 6291451, 12582907, 25165819, 50331643, 100663291, 201326587, 402653179, 805306363, 1610612731
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| a(n)=T(5,n), array T given by A048483.
Sequence is generated by the Northwest (NW) direction of circles put around circle(s). See illustration. - Odimar Fabeny (aifab(AT)yahoo.com.br), Aug 09 2008
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Odimar Fabeny, Illustration for this sequence
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FORMULA
| a(n)=2*a(n-1)+5, n>0, a(0)=1. - Paul Barry (pbarry(AT)wit.ie), Aug 25 2004
Equals binomial transform of [1, 6, 6, 6,...]. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 29 2008
a(n) = A000079(n)*6 - 5 = A007283(n)*2 - 5. [From Omar E. Pol (info(AT)polprimos.com), Dec 21 2008]
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MATHEMATICA
| a[n_]:=6*2^n-5; ...and/or...a=1; lst={1}; k=6; Do[a+=k; AppendTo[lst, a]; k+=k, {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 16 2008]
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PROG
| (MAGMA) [6*2^n - 5: n in [0..30]]; // Vincenzo Librandi, May 18 2011
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CROSSREFS
| n-th difference of a(n), a(n-1), ..., a(0) is (6, 6, 6, ...).
Cf. A000079, A007283. [From Omar E. Pol (info(AT)polprimos.com), Dec 21 2008]
Sequence in context: A054690 A054691 A139828 * A155303 A155275 A155268
Adjacent sequences: A048485 A048486 A048487 * A048489 A048490 A048491
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
| Simpler definition from Ralf Stephan.
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