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 A331470 a(n) is the greatest value of the form s_1^2 + ... + s_k^2 such that the concatenation of the binary representations of s_1^2, ..., s_k^2 equals the binary representation of n. 1
 0, 1, 1, 2, 4, 2, 2, 3, 4, 9, 2, 3, 5, 3, 3, 4, 16, 5, 9, 10, 5, 3, 3, 4, 5, 25, 3, 4, 6, 4, 4, 5, 16, 17, 5, 6, 36, 10, 10, 11, 5, 10, 3, 4, 6, 4, 4, 5, 17, 49, 25, 26, 6, 4, 4, 5, 6, 26, 4, 5, 7, 5, 5, 6, 64, 17, 17, 18, 8, 6, 6, 7, 36, 37, 10, 11, 13, 11 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS This sequence is a variant of A331362. LINKS Rémy Sigrist, Table of n, a(n) for n = 0..8192 Rémy Sigrist, PARI program for A331470 FORMULA a(n) >= A000120(n) with equality iff n belongs to A003754. a(n^2) = n^2. EXAMPLE For n = 12: - the binary representation of 12 is "1100", - we can split it into "1" and "1" and "0" and "0" (1^2 and 1^2 and 0^2 and 0^2), - or into "1" and "100" (1^2 and 2^2), - hence a(12) = max(2, 5) = 5. PROG (PARI) See Links section. CROSSREFS Cf. A000120, A003754, A331362. Sequence in context: A218217 A218279 A183193 * A021809 A210210 A117007 Adjacent sequences:  A331467 A331468 A331469 * A331471 A331472 A331473 KEYWORD nonn,base AUTHOR Rémy Sigrist, Jan 17 2020 STATUS approved

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Last modified May 7 20:36 EDT 2021. Contains 343652 sequences. (Running on oeis4.)