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A105351
Number of divisors of 135...(2n-1), the concatenation of the first n odd numbers.
1
1, 2, 8, 4, 4, 16, 4, 32, 20, 2, 16, 12, 12, 4, 24, 2, 32, 64, 128, 16, 96, 32, 16, 64, 32, 4, 32, 32, 16, 96, 32, 8, 256, 2, 16, 60, 8, 32, 12, 64, 48, 480, 32, 128, 512, 16, 128, 192, 2, 128, 96, 32, 64, 160, 64, 16, 6, 64, 64
OFFSET
1,2
LINKS
EXAMPLE
The number of divisors of 13 is 2, hence a(2) = 2.
The number of divisors of 135 is 8, hence a(3) = 8.
The number of divisors of 1357 is 4, hence a(4) = 4.
MAPLE
R:= 1: x:= 1:
for n from 2 to 49 do
x:= x*10^(1+ilog10(2*n-1)) + 2*n - 1;
R:= R, numtheory:-tau(x);
od:
R; # Robert Israel, Mar 02 2023
MATHEMATICA
ParallelTable[Divisors[FromDigits[Join@@IntegerDigits/@Table[1+2*k, {k, 0, n}]]]//Length, {n, 0, 48}] (* J.W.L. (Jan) Eerland, Mar 02 2023 *)
CROSSREFS
Sequence in context: A194940 A195920 A227334 * A178592 A348683 A301389
KEYWORD
base,nonn,more
AUTHOR
Parthasarathy Nambi, Apr 30 2005, Jul 01 2005
EXTENSIONS
Edited by N. J. A. Sloane, Aug 23 2008 at the suggestion of R. J. Mathar
a(18)-a(50) from J.W.L. (Jan) Eerland, Mar 02 2023
a(51)-a(58) from Jon E. Schoenfield, Mar 03 2023
Offset corrected by Sean A. Irvine, Mar 24 2023
STATUS
approved