Prime power decomposition of A371630(n), n = 1..56. Michael Thomas De Vlieger, St. Louis, Missouri 2024 0605 1830. Represents all terms that do not exceed 2^27 = 134217728. Table of a(n) and A371634(n) = b(n) for n = 1..20. Asterisks in the a(n) column denote squarefree terms while "+" denotes numbers not in A055932 (i.e., in A080259). The A067255 column notes exponents of prime power factors p(i)^m(i), where p(i) is the i-th prime, using "." in place of zero. For example, k = 84 = 2^2 * 3 * 7 is written "21.1". n a(n) A067255(a(n)) d(n)-f(n) = b(n) --------------------------------------------- 1 1* . 1 - 1 = 0 2 2* 1 2 - 1 = 1 3 6* 11 4 - 1 = 3 4 12 21 6 - 2 = 4 5 30* 111 8 - 1 = 7 6 60 211 12 - 2 = 10 7 120 311 16 - 4 = 12 8 210* 1111 16 - 1 = 15 9 420 2111 24 - 2 = 22 10 840 3111 32 - 4 = 28 11 1260 2211 36 - 6 = 30 12 1680 4111 40 - 8 = 32 13 2520 3211 48 - 11 = 37 14 4620 21111 48 - 2 = 46 15 9240 31111 64 - 4 = 60 16 13860 22111 72 - 6 = 66 17 18480 41111 80 - 8 = 72 18 27720 32111 96 - 12 = 84 19 32760 3211.1 96 - 11 = 85 20 55440 42111 120 - 20 = 100 21 65520 4211.1 120 - 19 = 101 22 102960 421.11 120 - 18 = 102 23 110880 52111 144 - 33 = 111 24 120120 311111 128 - 4 = 124 25 180180 221111 144 - 6 = 138 26 240240 411111 160 - 8 = 152 27 360360 321111 192 - 12 = 180 28 556920 3211.11 192 - 11 = 181 29 720720 421111 240 - 21 = 219 30 1081080 331111 256 - 30 = 226 31 1441440 521111 288 - 36 = 252 32 1884960 52111.1 288 - 35 = 253 33 2162160 431111 320 - 49 = 271 34 2827440 43111.1 320 - 48 = 272 35 2882880 621111 336 - 59 = 277 36 3063060 2211111 288 - 6 = 282 37 3603600 422111 360 - 69 = 291 38 4084080 4111111 320 - 8 = 312 39 6126120 3211111 384 - 12 = 372 40 10581480 3211.111 384 - 11 = 373 41 12252240 4211111 480 - 22 = 458 42 18378360 3311111 512 - 32 = 480 43 20540520 331111.1 512 - 31 = 481 44 24504480 5211111 576 - 38 = 538 45 35814240 52111.11 576 - 37 = 539 46 36756720 4311111 640 - 53 = 587 47 41081040 431111.1 640 - 52 = 588 48 49008960 6211111 672 - 64 = 608 49 61261200 4221111 720 - 76 = 644 50 68468400 422111.1 720 - 75 = 645 51 73513440 5311111 768 - 87 = 681 52 82162080 531111.1 768 - 86 = 682 53 99459360 531111..1 768 - 85 = 683 54 107442720 53111.11 768 - 83 = 685 55 110270160 4411111 800 - 113 = 687 56 116396280 32111111 768 - 12 = 756