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

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