A249432 Positions of records in A249431.

0, 174, 323, 999, 1766, 1934, 2974, 4299, 5749, 9974, 15685, 25478, 31406

Offset: 1

Author

Antti Karttunen, Nov 02 2014

Keywords

• nonn
• more

Comments

The corresponding record values in A249431 are: 1, 4, 6, 9, 10, 14, 24, ...

Larger terms could be found by searching large prime gaps: A249431(31406) = 62, and any number k such that A249431(k) >= 63 must have nextprime(k) - k > 63. - Charlie Neder, May 24 2019

Crossrefs

Subsequence of A249434 and A249430.

Cf. A249151, A249431, A249430.

Programs

Python

from itertools import count, islice
from collections import Counter
from math import comb
from sympy import factorint
def A249432_gen(): # generator of terms
    c = -1
    for n in count(0):
        p = sum((Counter(factorint(comb(n,i))) for i in range(n+1)),start=Counter())
        for m in count(1):
            f = Counter(factorint(m))
            if not f<=p:
                break
            p -= f
        if (k:=m-1-n)>c:
            yield n
            c = k
A249432_list = list(islice(A249432_gen(),4)) # Chai Wah Wu, Aug 19 2025

Extensions

a(8)-a(13) from Charlie Neder, May 24 2019