login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A343267 Numbers that are not the sum of four or fewer terms from A020330 (not necessarily distinct). 1
1, 2, 4, 5, 7, 8, 11, 14, 17, 22, 27, 29, 32, 34, 37, 41, 44, 47, 53, 62, 95, 104, 107, 113, 116, 122, 125, 131, 134, 140, 143, 148, 155, 158, 160, 167, 407, 424, 441, 458, 475, 492, 509, 526, 552, 560, 569, 587, 599, 608, 613, 620, 638, 653, 671, 686 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Madhusudan et al. (2018) proved that a(56) = 686 is the last term of this sequence.

LINKS

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

Parthasarathy Madhusudan, Dirk Nowotka, Aayush Rajasekaran and Jeffrey Shallit, Lagrange's Theorem for Binary Squares, in: I. Potapov, P. Spirakis and J. Worrell (eds.), 43rd International Symposium on Mathematical Foundations of Computer Science (MFCS 2018), Schloss Dagstuhl, 2018, pp. 18:1-18:14; arXiv preprint, arXiv:1710.04247 [math.NT], 2017-2018.

MATHEMATICA

v = Table[n + n * 2^Floor[Log2[n] + 1], {n, 0, 20}]; Complement[Range[0, 700], Plus @@@ Tuples[v, 4]]

CROSSREFS

Cf. A020330, A290334, A290335, A298731, A343268.

Sequence in context: A025516 A191174 A261188 * A176193 A072920 A330708

Adjacent sequences:  A343264 A343265 A343266 * A343268 A343269 A343270

KEYWORD

nonn,fini,full

AUTHOR

Amiram Eldar, Apr 09 2021

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 26 21:07 EST 2021. Contains 349344 sequences. (Running on oeis4.)