A249432 Positions of records in A249431.

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

Offset

1,2

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

Links

Table of n, a(n) for n=1..13.

Prog

(Scheme) ;; With Antti Karttunen's IntSeq-library.
(define A249432 (RECORD-POS 1 0 A249431))
(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

Crossrefs

Subsequence of A249434 and A249430.

Cf. A249151, A249431, A249430.

Sequence in context: A390066 A168349 A179136 * A331586 A077395 A185534

Adjacent sequences: A249429 A249430 A249431 * A249433 A249434 A249435

Keyword

nonn,more

Author

Antti Karttunen, Nov 02 2014

Extensions

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

Status

approved