A099670 - OEIS

A099670

Partial sums of repdigits of A002277.

3, 36, 369, 3702, 37035, 370368, 3703701, 37037034, 370370367, 3703703700, 37037037033, 370370370366, 3703703703699, 37037037037032, 370370370370365, 3703703703703698, 37037037037037031, 370370370370370364

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..18.

FORMULA

a(n) = (3/81)*(10^(n+1) - 9*n - 10). - R. Piyo (nagoya314(AT)yahoo.com), Dec 10 2004

EXAMPLE

3+33+333+3333=a[4]=3702

MAPLE

a:=n->sum((10^(n-j)-1^(n-j))/3, j=0..n): seq(a(n), n=1..18); # Zerinvary Lajos, 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}]

Table[3/9*Sum[10^i - 1, {i, n}], {n, 18}] (* Robert G. Wilson v, Nov 20 2004 *)

CROSSREFS

Cf. A057932, A002275-A002283.

Sequence in context: A274403 A068177 A249894 * A259131 A199258 A262465

Adjacent sequences: A099667 A099668 A099669 * A099671 A099672 A099673

KEYWORD

nonn

AUTHOR

Labos Elemer, Nov 17 2004

STATUS

approved