A346520 -id:A346520 - cp's OEIS frontend

A346818 Number of partitions of the (n+8)-multiset {0,...,0,1,2,...,n} with eight 0's into distinct multisets.

6, 25, 111, 539, 2840, 16108, 97666, 629346, 4288933, 30783302, 231866151, 1827144328, 15022671954, 128565441698, 1142833748894, 10531721116527, 100445595744363, 989932688616905, 10067279775369776, 105509453248128215, 1138230916526434434, 12625732251179554692

Offset: 0

Alois P. Heinz, Aug 05 2021

nonn

Also number of factorizations of 2^8 * Product_{i=1..n} prime(i+1) into distinct factors.

Alois P. Heinz, Table of n, a(n) for n = 0..570

Row n=8 of A346520.

Cf. A346854.

A346819 Number of partitions of the (n+9)-multiset {0,...,0,1,2,...,n} with nine 0's into distinct multisets.

Original entry on oeis.org

8, 33, 152, 765, 4168, 24388, 152237, 1008217, 7051043, 51867573, 399944924, 3223137761, 27077165245, 236578489448, 2145390324808, 20155783166266, 195856002789973, 1965470860206940, 20342086564540774, 216860601575057306, 2378610709552090677

Offset: 0

Alois P. Heinz, Aug 05 2021

nonn

Also number of factorizations of 2^9 * Product_{i=1..n} prime(i+1) into distinct factors.

Alois P. Heinz, Table of n, a(n) for n = 0..569

Row n=9 of A346520.

Cf. A346855.

A346820 Number of partitions of the (n+10)-multiset {0,...,0,1,2,...,n} with ten 0's into distinct multisets.

Original entry on oeis.org

10, 43, 205, 1066, 5988, 36052, 231164, 1570176, 11247965, 84653400, 667168482, 5490444397, 47062089729, 419239463176, 3873647216453, 37057205796114, 366456723771549, 3740565770881821, 39358576699041991, 426383570139629695, 4750448584867131001

Offset: 0

Alois P. Heinz, Aug 05 2021

nonn

Also number of factorizations of 2^10 * Product_{i=1..n} prime(i+1) into distinct factors.

Alois P. Heinz, Table of n, a(n) for n = 0..569

Row n=10 of A346520.

Cf. A346856.

A346822 Number of partitions of the (n+2)-multiset {0,...,0,1,2} with n 0's into distinct multisets.

Original entry on oeis.org

2, 5, 9, 16, 25, 38, 56, 80, 111, 152, 205, 272, 357, 463, 595, 759, 960, 1205, 1504, 1865, 2300, 2823, 3448, 4192, 5076, 6122, 7356, 8809, 10514, 12509, 14840, 17555, 20710, 24371, 28608, 33503, 39149, 45647, 53113, 61679, 71489, 82706, 95515, 110118, 126743

Offset: 0

Alois P. Heinz, Aug 05 2021

nonn

Also number of factorizations of 2^n * 15 into distinct factors.

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Column k=2 of A346520.

Cf. A082775.

A346823 Number of partitions of the (n+3)-multiset {0,...,0,1,2,3} with n 0's into distinct multisets.

Original entry on oeis.org

5, 15, 31, 59, 100, 161, 249, 372, 539, 765, 1066, 1460, 1972, 2629, 3466, 4526, 5856, 7513, 9569, 12102, 15208, 19001, 23610, 29186, 35908, 43980, 53639, 65162, 78864, 95107, 114313, 136958, 163588, 194833, 231403, 274111, 323884, 381767, 448948, 526777

Offset: 0

Alois P. Heinz, Aug 05 2021

nonn

Also number of factorizations of 2^n * 105 into distinct factors.

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Column k=3 of A346520.

Cf. A093802.

A346824 Number of partitions of the (n+4)-multiset {0,...,0,1,2,3,4} with n 0's into distinct multisets.

Original entry on oeis.org

15, 52, 120, 244, 442, 750, 1213, 1887, 2840, 4168, 5988, 8441, 11709, 16009, 21612, 28853, 38128, 49915, 64801, 83473, 106758, 135645, 171296, 215082, 268626, 333826, 412905, 508469, 623546, 761653, 926887, 1123975, 1358378, 1636411, 1965325, 2353460, 2810393

Offset: 0

Alois P. Heinz, Aug 05 2021

nonn

Also number of factorizations of 2^n * 1155 into distinct factors.

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Column k=4 of A346520.

Cf. A346857.

A346825 Number of partitions of the (n+5)-multiset {0,...,0,1,2,...,5} with n 0's into distinct multisets.

Original entry on oeis.org

52, 203, 514, 1112, 2134, 3799, 6404, 10340, 16108, 24388, 36052, 52197, 74231, 103904, 143412, 195498, 263518, 351581, 464740, 609093, 792031, 1022482, 1311139, 1670781, 2116665, 2666901, 3342939, 4170146, 5178386, 6402733, 7884348, 9671325, 11819765, 14395034

Offset: 0

Alois P. Heinz, Aug 05 2021

nonn

Also number of factorizations of 2^n * Product_{i=1..5} prime(i+1) into distinct factors.

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Column k=5 of A346520.

Cf. A346858.

A346826 Number of partitions of the (n+6)-multiset {0,...,0,1,2,...,6} with n 0's into distinct multisets.

Original entry on oeis.org

203, 877, 2407, 5516, 11147, 20739, 36332, 60727, 97666, 152237, 231164, 343173, 499604, 714931, 1007585, 1400910, 1924105, 2613514, 3514300, 4682017, 6184837, 8106095, 10547063, 13630338, 17503905, 22345618, 28368542, 35827240, 45024773, 56320882, 70141666

Offset: 0

Alois P. Heinz, Aug 05 2021

nonn

Also number of factorizations of 2^n * Product_{i=1..6} prime(i+1) into distinct factors.

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Column k=6 of A346520.

Cf. A346859.

A346827 Number of partitions of the (n+7)-multiset {0,...,0,1,2,...,7} with n 0's into distinct multisets.

Original entry on oeis.org

877, 4140, 12205, 29505, 62505, 121141, 220000, 379831, 629346, 1008217, 1570176, 2386768, 3552623, 5191184, 7462348, 10571795, 14781494, 20422834, 27913093, 37773674, 50653017, 67353802, 88864364, 116396162, 151428441, 195759851, 251569301, 321487585

Offset: 0

Alois P. Heinz, Aug 05 2021

nonn

Also number of factorizations of 2^n * Product_{i=1..7} prime(i+1) into distinct factors.

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Column k=7 of A346520.

Cf. A346860.

A346828 Number of partitions of the (n+8)-multiset {0,...,0,1,2,...,8} with n 0's into distinct multisets.

Original entry on oeis.org

4140, 21147, 66491, 168938, 373832, 752681, 1413937, 2516880, 4288933, 7051043, 11247965, 17485725, 26581264, 39621636, 58039748, 83708561, 119053483, 167190888, 232099972, 318825211, 433724509, 584768196, 781893879, 1037430804, 1366607287, 1788149627

Offset: 0

Alois P. Heinz, Aug 05 2021

nonn

Also number of factorizations of 2^n * Product_{i=1..8} prime(i+1) into distinct factors.

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Column k=8 of A346520.

Cf. A346861.

cp's OEIS Frontend

A346818 Number of partitions of the (n+8)-multiset {0,...,0,1,2,...,n} with eight 0's into distinct multisets.

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A346819 Number of partitions of the (n+9)-multiset {0,...,0,1,2,...,n} with nine 0's into distinct multisets.

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A346820 Number of partitions of the (n+10)-multiset {0,...,0,1,2,...,n} with ten 0's into distinct multisets.

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A346822 Number of partitions of the (n+2)-multiset {0,...,0,1,2} with n 0's into distinct multisets.

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A346823 Number of partitions of the (n+3)-multiset {0,...,0,1,2,3} with n 0's into distinct multisets.

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A346824 Number of partitions of the (n+4)-multiset {0,...,0,1,2,3,4} with n 0's into distinct multisets.

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A346825 Number of partitions of the (n+5)-multiset {0,...,0,1,2,...,5} with n 0's into distinct multisets.

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A346826 Number of partitions of the (n+6)-multiset {0,...,0,1,2,...,6} with n 0's into distinct multisets.

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A346827 Number of partitions of the (n+7)-multiset {0,...,0,1,2,...,7} with n 0's into distinct multisets.

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Crossrefs

A346828 Number of partitions of the (n+8)-multiset {0,...,0,1,2,...,8} with n 0's into distinct multisets.

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Author

Keywords

Comments

Links

Crossrefs