This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A000797 M5033 N2172 #43 Jul 08 2025 14:58:52
%S A000797 17,27,33,52,73,82,83,103,107,137,153,162,217,219,227,237,247,258,268,
%T A000797 271,282,283,302,303,313,358,383,432,437,443,447,502,548,557,558,647,
%U A000797 662,667,709,713,718,722,842,863,898,953,1007,1117,1118
%N A000797 Numbers that are not the sum of 4 tetrahedral numbers.
%C A000797 It is an open problem of long standing ("Pollock's Conjecture") to show that this sequence is finite.
%C A000797 More precisely, Salzer and Levine conjecture that every number is the sum of at most 5 tetrahedral numbers and in fact that there are exactly 241 numbers (the terms of this sequence) that require 5 tetrahedral numbers, the largest of which is 343867.
%D A000797 L. E. Dickson, History of the Theory of Numbers, Vol. II, Diophantine Analysis. AMS Chelsea Publishing, Providence, Rhode Island, 1999, p. 22.
%D A000797 S. S. Skiena, The Algorithm Design Manual, Springer-Verlag, 1998, pp. 43-45 and 135-136.
%D A000797 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A000797 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A000797 Jud McCranie and David W. Wilson, <a href="/A000797/b000797.txt">The 241 known terms</a>
%H A000797 Brady Haran and James Grime, <a href="https://www.youtube.com/watch?v=CK3_zarXkw0">343867 and Tetrahedral Numbers - Numberphile</a>, YouTube video, 2024.
%H A000797 Maksym Nedoshev and Viktor Kyrychenko, <a href="https://doi.org/10.32515/2664-262X.2025.11(42).2.23-29">Peculiarities of the Operation of Complex Computational Algorithms using the Example of Testing the Polock Hypothesis</a> [sic], Central Ukrainian Sci. Bull. (2025) Part II, Vol. 11, No. 42, 23-29. (In Ukrainian)
%H A000797 Jonathan Frederick Pollock, <a href="https://doi.org/10.1098/rspl.1843.0223">On the extension of the principle of Fermat's theorem of the polygonal numbers to the higher orders of series whose ultimate differences are constant. With a new theorem proposed, applicable to all the orders</a>, Proc. Roy. Soc. London, 5 (1851), 922-924.
%H A000797 Herbert E. Salzer and Norman Levine, <a href="https://doi.org/10.1090/S0025-5718-1958-0099756-3">Table of integers not exceeding 10 00000 that are not expressible as the sum of four tetrahedral numbers</a>, Math. Comp., 12 (1958), 141-144.
%H A000797 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PollocksConjecture.html">Pollock's Conjecture</a>
%H A000797 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TetrahedralNumber.html">Tetrahedral Number</a>
%Y A000797 Cf. A000292 (tetrahedral numbers), A102795, A102796, A102797, A104246, A102800 (complement).
%K A000797 nonn,fini
%O A000797 1,1
%A A000797 _N. J. A. Sloane_
%E A000797 Entry revised Feb 25 2005