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A290335 Number of representations of n as a sum of four terms of A020330 (including 0), where order matters. 5
1, 0, 0, 4, 0, 0, 6, 0, 0, 4, 4, 0, 1, 12, 0, 4, 12, 0, 12, 4, 6, 12, 0, 12, 4, 12, 6, 0, 24, 0, 10, 12, 0, 16, 0, 12, 10, 0, 12, 12, 13, 0, 12, 12, 0, 16, 12, 0, 16, 24, 6, 24, 12, 0, 32, 16, 12, 24, 24, 12, 25, 36, 0, 32, 36, 12, 40, 24, 12, 36, 36, 12, 34, 36, 12, 40, 36, 12, 30, 36, 12, 40, 36, 12, 52, 24, 12, 36, 24, 12, 34, 48, 6, 52, 36, 0, 54, 12, 12 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Amiram Eldar, Table of n, a(n) for n = 0..10000

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.

EXAMPLE

For n = 24 there are four representations, which are the distinct permutations of [15,3,3,3].

MATHEMATICA

v = Table[k + k * 2^Floor[Log2[k] + 1], {k, 0, 8}]; a[n_] := If[(ip = IntegerPartitions[n, {4}, v]) == {}, 0, Plus @@ Length /@ (Permutations /@ ip)]; Table[a[n], {n, 0, v[[-1]]}] (* Amiram Eldar, Apr 09 2021 *)

CROSSREFS

Cf. A020330, A261132, A290334, A298731.

Sequence in context: A021718 A193108 A212044 * A341795 A063730 A131431

Adjacent sequences:  A290332 A290333 A290334 * A290336 A290337 A290338

KEYWORD

nonn,look

AUTHOR

Jeffrey Shallit, Jul 27 2017

STATUS

approved

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Last modified October 27 13:19 EDT 2021. Contains 348276 sequences. (Running on oeis4.)