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A113865 Number of digits of Bell number A000110(n). +0
1
1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 47, 48, 49, 50, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 68, 70, 71, 72, 74, 75, 76, 78 (list; graph; listen)
OFFSET

0,5

COMMENT

A113015 is the number of decimal digits in BellB[10^n]. The positive integers which are in the complement to this sequence are: 25, 34, 41, 46, 51, 56, 61, 65, 69, 73, 77, 80, 84, 88, 91, 94, 98, 101, ... because there is no Bell number with 25 digits (Bell[30] = 846749014511809332450147 has 24 digits, Bell[31] = 10293358946226376485095653 has 26 digits).

LINKS

John Sokol, The First 1000 Bell Numbers.

FORMULA

a(n) = ceiling(log_10 A000110(n)).

EXAMPLE

a(0) = 1 because Bell(0) = 1, which has one digit.

a(1) = 1 because Bell(1) = 1, which has one digit.

a(2) = 1 because Bell(2) = 2, which has one digit.

a(3) = 1 because Bell(3) = 5, which has one digit.

a(4) = 2 because Bell(4) = 15, which has two digits.

MAPLE

seq(length(bell(n)), n = 0 .. 73); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 07 2007

CROSSREFS

Cf. A000110, A113015.

Sequence in context: A060151 A097330 A086861 this_sequence A143738 A029071 A117144

Adjacent sequences: A113862 A113863 A113864 this_sequence A113866 A113867 A113868

KEYWORD

base,easy,nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), Jan 25 2006

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Last modified December 17 13:29 EST 2009. Contains 170826 sequences.


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