A263097 -id:A263097 - cp's OEIS frontend

A263098 a(n) = Max( tau(k) : k=1,2,3,...,n^2 ) where tau(k) = A000005(k) is the number of divisors of k.

1, 3, 4, 6, 8, 9, 10, 12, 12, 12, 16, 16, 16, 18, 18, 20, 20, 20, 24, 24, 24, 24, 24, 24, 24, 24, 30, 30, 32, 32, 32, 32, 32, 32, 32, 36, 36, 36, 36, 36, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 72

Offset: 1

Antti Karttunen, Oct 10 2015

nonn

Antti Karttunen, Table of n, a(n) for n = 1..2080

Cf. A000290, A070319, A262514.

Cf. A263096, A263097.

Table[Max[DivisorSigma[0, #] & /@ Range[n^2]], {n, 101}] (* Michael De Vlieger, Oct 11 2015 *)

A070319(n, m=1, s=2)={for(k=s, n, mM. F. Hasler, Sep 12 2012
A263098 = n -> A070319(n^2); \\ Slow without memoization.
for(n=1, 2080, write("b263098.txt", n, " ", A263098(n)));

(define (A263098 n) (A070319 (A000290 n)))

a(n) = A070319(A000290(n)).

A263096 Square roots of highly composite numbers, floored down: a(n) = A000196(A002182(n)).

Original entry on oeis.org

1, 1, 2, 2, 3, 4, 6, 6, 7, 10, 13, 15, 18, 26, 28, 35, 40, 50, 70, 86, 100, 122, 141, 158, 166, 212, 224, 235, 288, 332, 407, 470, 526, 576, 706, 744, 815, 848, 1039, 1200, 1470, 1697, 1898, 2079, 2546, 2684, 2940, 3287, 3796, 4158, 4649, 5694, 6062, 6575, 7826, 8573, 10500, 11068, 12125, 13556, 15653, 17147, 19172, 23480, 26426, 27113, 33206, 37373, 45772, 46961, 48248, 52853, 59092, 68233, 74746, 83568, 102350

Offset: 1

Antti Karttunen, Oct 10 2015

nonn

a(n) = number of strictly positive squares <= A002182(n).

Antti Karttunen, Table of n, a(n) for n = 1..1000 (based on the b-file of A002182 provided by _T. D. Noe_.)

Cf. A000196, A002182, A263097, A263098.

(define (A263096 n) (A000196 (A002182 n)))

a(n) = A000196(A002182(n)).

cp's OEIS Frontend

A263098 a(n) = Max( tau(k) : k=1,2,3,...,n^2 ) where tau(k) = A000005(k) is the number of divisors of k.

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