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 A284742 Centered Platonic numbers. 0
 1, 5, 7, 9, 13, 15, 25, 33, 35, 55, 63, 69, 91, 121, 129, 147, 155, 189, 195, 231, 295, 309, 341, 377, 425, 427, 559, 561, 575, 589, 791, 833, 855, 909, 923, 1035, 1159, 1241, 1325, 1415, 1561, 1661, 1665, 1729, 2047, 2057, 2059, 2331, 2511, 2625, 2743, 2869, 3025, 3059, 3303, 3605, 3871, 3925, 4089, 4215, 4255 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Union of centered tetrahedral numbers (A005894), centered octahedral numbers (A001845), centered cube numbers (A005898), centered icosahedral numbers (A005902) and centered dodecahedral numbers (A005904). LINKS OEIS Wiki, Centered Platonic numbers [Unapproved page] MATHEMATICA nn = 18; t1 = Table[(2 n + 1) (n^2 + n + 3)/3, {n, 0, nn}]; t2 = Table[(2 n + 1) (2 n^2 + 2 n + 3)/3, {n, 0, nn}]; t3 = Table[n^3 + (n + 1)^3, {n, 0, nn}]; t4 = Table[(2 n + 1) (5 n^2 + 5 n + 3)/3, {n, 0, nn}]; t5 = Table[(2 n + 1) (5 n^2 + 5 n + 1), {n, 0,  nn}]; Select[Union[t1, t2, t3, t4, t5], # <= t1[[-1]] &] CROSSREFS Cf. A001845, A005894, A005898, A005902, A005904, A053012. Sequence in context: A048974 A089193 A302482 * A111083 A050550 A079523 Adjacent sequences:  A284739 A284740 A284741 * A284743 A284744 A284745 KEYWORD nonn,easy AUTHOR Ilya Gutkovskiy, Apr 01 2017 STATUS approved

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Last modified May 9 15:21 EDT 2021. Contains 343742 sequences. (Running on oeis4.)