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 A339612 Number of sets of distinct positive integers whose sum of squares is a square, the largest integer of a set is n. 3
 1, 1, 1, 2, 1, 3, 2, 5, 9, 11, 32, 51, 113, 184, 364, 605, 1175, 2077, 3749, 7108, 12214, 23871, 42474, 82212, 153738, 288842, 555593, 1041563, 2016299, 3809565, 7302893, 13914139, 26591478, 50942383, 97411030, 186943685, 358286670, 689827822, 1326042612, 2558758426 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 LINKS Alois P. Heinz, Table of n, a(n) for n = 1..100 FORMULA a(n) = A336815(n) - A336815(n-1). EXAMPLE a(10) = 11 sets: {10}, {1, 2, 4, 10}, {1, 2, 8, 10}, {2, 4, 7, 10}, {5, 6, 8, 10}, {1, 5, 7, 9, 10}, {3, 4, 6, 8, 10}, {1, 3, 4, 7, 9, 10}, {1, 2, 3, 5, 6, 9, 10}, {1, 2, 5, 7, 8, 9, 10} and {1, 2, 3, 4, 7, 8, 9, 10}. PROG (Python) a = lambda n: b(n-1, n*n, 1) # for b() in A336815 print([a(n) for n in range(1, 30)]) # Michael S. Branicky, Dec 10 2020 CROSSREFS Cf. A000290, A126024, A336815. Sequence in context: A176741 A266138 A014000 * A075257 A260618 A306286 Adjacent sequences: A339609 A339610 A339611 * A339613 A339614 A339615 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Dec 09 2020 EXTENSIONS a(24)-a(40) from Michael S. Branicky, Dec 09 2020 STATUS approved

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Last modified June 2 10:58 EDT 2023. Contains 363097 sequences. (Running on oeis4.)