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A056547
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a(n) = 6n * a(n-1) +1 with a(0)=1.
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4
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1, 7, 85, 1531, 36745, 1102351, 39684637, 1666754755, 80004228241, 4320228325015, 259213699500901, 17108104167059467, 1231783500028281625, 96079113002205966751, 8070645492185301207085, 726358094296677108637651
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n) = floor[ e^(1/6)*6^n*n! ]
a(n) = n!*sum(6^(n-k)/k!, k=0..n) . E.g.f. : exp(x) / (1-6x) . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Mar 14 2004
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EXAMPLE
| a(2)=6*2*a(1)+1=12*7+1=85
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CROSSREFS
| Cf. A000522, A010844, A010845, A056545, A056546 for analogues. A056547/(A000142*A000400) is an increasingly good approximation to 6th root of e.
Sequence in context: A026001 A064089 A049412 * A121020 A000424 A060237
Adjacent sequences: A056544 A056545 A056546 * A056548 A056549 A056550
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KEYWORD
| easy,nonn
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AUTHOR
| Henry Bottonley (se16(AT)btinternet.com), Jun 20 2000
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jul 04 2000
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