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Search: id:A096302
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A096302 Number of combinations of two natural numbers that together have n digits. +0
1
81, 1620, 24300, 324000, 4050000, 48600000, 567000000, 6480000000, 72900000000, 810000000000, 8910000000000, 97200000000000, 1053000000000000, 11340000000000000, 121500000000000000, 1296000000000000000 (list; graph; listen)
OFFSET

2,1

FORMULA

a(n) = sum[i = 0 to n-1]C(n-1, i)*9^(i+1)*i

a(n) = 81*(n-1)*10^(n-2). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Jun 26 2004

MATHEMATICA

f[n_] := Sum[Binomial[n - 1, i]*9^(i + 1)*i, {i, 0, n}]; Table[ a[n], {n, 2, 17}] (from Robert G. Wilson v Jun 30 2004)

CROSSREFS

Cf. A053541.

Adjacent sequences: A096299 A096300 A096301 this_sequence A096303 A096304 A096305

Sequence in context: A059977 A116205 A110921 this_sequence A107914 A050634 A065791

KEYWORD

nonn

AUTHOR

Hagai Helman (Helman(AT)actcom.net.il), Jun 25 2004

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 30 2004

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Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.


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