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A047723 Sum of 12 but no fewer nonzero fourth powers. 2
12, 27, 42, 57, 72, 92, 107, 122, 137, 152, 172, 187, 192, 202, 217, 232, 252, 267, 282, 297, 312, 332, 347, 362, 377, 392, 412, 427, 432, 442, 457, 472, 492, 497, 507, 522, 537, 552, 572, 587, 602, 617, 636, 652, 667, 672, 682, 697, 716, 732, 747, 762 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

David A. Corneth, Table of n, a(n) for n = 1..13916 (terms <= 200000)

PROG

(Python)

from itertools import count, takewhile, combinations_with_replacement as mc

def aupto(limit):

    qd = list(takewhile(lambda x: x <= limit, (k**4 for k in count(1))))

    ss = [set(sum(c) for c in mc(qd, i)) for i in range(13)]

    for i in range(11, 0, -1): ss[12] -= ss[i]

    return sorted(s for s in ss[12] if s <= limit)

print(aupto(762)) # Michael S. Branicky, Dec 27 2021

CROSSREFS

Cf. A000583, A002377, A003346, A046044.

Sequence in context: A030736 A227854 A003346 * A151542 A069550 A079705

Adjacent sequences:  A047720 A047721 A047722 * A047724 A047725 A047726

KEYWORD

nonn

AUTHOR

Arlin Anderson (starship1(AT)gmail.com)

EXTENSIONS

Typo in data corrected by D. S. McNeil, Aug 17 2010

STATUS

approved

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Last modified September 27 10:21 EDT 2022. Contains 357057 sequences. (Running on oeis4.)