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A099676 Partial sums of repdigits of A002283. +0
2
9, 108, 1107, 11106, 111105, 1111104, 11111103, 111111102, 1111111101, 11111111100, 111111111099, 1111111111098, 11111111111097, 111111111111096, 1111111111111095, 11111111111111094, 111111111111111093 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n) = (10/9)*(10^n-1)-n - R. Piyo (nagoya314(AT)yahoo.com), Dec 10 2004

EXAMPLE

9+99+999+9999+99999=a[5]=111105

MAPLE

a:=n->sum((10^(n-j)-1^(n-j)), j=0..n): seq(a(n), n=1..17); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 15 2007

MATHEMATICA

<<NumberTheory`NumberTheoryFunctions` Table[{k, Table[Apply[Plus, Table[k*(10^n-1)/9, {n, 1, m}]], {m, 1, 35}]}, {k, 1, 9}]

PROGRAM

(Other) sage: [gaussian_binomial(n, 1, 10)-n for n in xrange(2, 19)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 29 2009]

CROSSREFS

Cf. A057932, A002275-A002283, A099669-A099674.

Sequence in context: A039619 A080505 A104224 this_sequence A051606 A001691 A157906

Adjacent sequences: A099673 A099674 A099675 this_sequence A099677 A099678 A099679

KEYWORD

base,nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Nov 17 2004

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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