A226900 - OEIS

A226900

Record values of Hooley's Delta function A226898.

1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 14, 15, 17, 18, 19, 20, 21, 22, 23, 25, 27, 28, 29, 31, 32, 33, 34, 39, 44, 48, 51, 55, 60, 62, 66, 69, 77, 80, 83, 88, 91, 92, 98, 100, 106, 107, 111, 118, 121, 122, 124, 137, 138, 142, 150, 156

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

REFERENCES

C. Hooley, On a new technique and its applications to the theory of numbers, Proc. London Math. Soc. 3 38:1 (1979), pp. 115-151.

LINKS

Table of n, a(n) for n=1..56.

PROG

(PARI) Delta(n)=my(d=divisors(n), m=1); for(i=1, #d-1, my(t=exp(1)*d[i]); m=max(sum(j=i, #d, d[j]<t), m)); m

r=0; for(n=1, 1e9, t=Delta(n); if(t>r, r=t; print1(t", ")))

CROSSREFS

Cf. A226898, A226899, A002183.

Sequence in context: A342950 A238985 A337230 * A111228 A324022 A283248

Adjacent sequences: A226897 A226898 A226899 * A226901 A226902 A226903

KEYWORD

nonn

AUTHOR

Charles R Greathouse IV, Jun 21 2013

EXTENSIONS

a(38)-a(54) from Charles R Greathouse IV, Jun 24 2013

a(55)-a(56) from Charles R Greathouse IV, Jul 01 2013

STATUS

approved