A057066 -id:A057066 - cp's OEIS frontend

A057072 a(n) = floor(10^10/n).

10000000000, 5000000000, 3333333333, 2500000000, 2000000000, 1666666666, 1428571428, 1250000000, 1111111111, 1000000000, 909090909, 833333333, 769230769, 714285714, 666666666, 625000000, 588235294, 555555555, 526315789

Offset: 1

Henry Bottomley, Jul 31 2000

Seiichi Manyama, Table of n, a(n) for n = 1..10000
Index entries for linear recurrences with constant coefficients, signature (1).

Cf. A033330, A033420-A033426, A000007, A033324, A033347, A057066-A057075.

a(n) = 10^10\n; \\ Seiichi Manyama, Aug 12 2023

A057075 Table read by antidiagonals of T(n,k)=floor(n^n/k) with n,k >= 1.

Original entry on oeis.org

1, 0, 4, 0, 2, 27, 0, 1, 13, 256, 0, 1, 9, 128, 3125, 0, 0, 6, 85, 1562, 46656, 0, 0, 5, 64, 1041, 23328, 823543, 0, 0, 4, 51, 781, 15552, 411771, 16777216, 0, 0, 3, 42, 625, 11664, 274514, 8388608, 387420489, 0, 0, 3, 36, 520, 9331, 205885, 5592405, 193710244, 10000000000

Offset: 1

Henry Bottomley, Jul 31 2000

			From _Seiichi Manyama_, Aug 12 2023: (Start)
Square array begins:
      1,     0,     0,     0,    0,    0, ...
      4,     2,     1,     1,    0,    0, ...
     27,    13,     9,     6,    5,    4, ...
    256,   128,    85,    64,   51,   42, ...
   3125,  1562,  1041,   781,  625,  520, ...
  46656, 23328, 15552, 11664, 9331, 7776, ... (End)

Seiichi Manyama, Antidiagonals n = 1..140, flattened

Rows are: A000007 (essentially), A033324, A033347, A057066-A057074.
Columns include A000312 and A057065.
Leading diagonal is A000169.
Cf. A060155.

T(n, k) = n^n\k; \\ Seiichi Manyama, Aug 12 2023

A057067 a(n) = floor(5^5/n).

Original entry on oeis.org

3125, 1562, 1041, 781, 625, 520, 446, 390, 347, 312, 284, 260, 240, 223, 208, 195, 183, 173, 164, 156, 148, 142, 135, 130, 125, 120, 115, 111, 107, 104, 100, 97, 94, 91, 89, 86, 84, 82, 80, 78, 76, 74, 72, 71, 69, 67, 66, 65, 63, 62, 61, 60, 58, 57, 56, 55, 54

Offset: 1

Henry Bottomley, Jul 31 2000

nonn

a(n) = 1 for 1563 <= n <= 3125, and is 0 for values of n >= 5^5 = 3126.

Index entries for linear recurrences with constant coefficients, signature (1).

Cf. A000007, A033324, A033347, A057066-A057075.

A057067:=n->floor(5^5/n); seq(A057067(n), n=1..100); # Wesley Ivan Hurt, Nov 27 2013

Table[Floor[5^5/n], {n,100}] (* Wesley Ivan Hurt, Nov 27 2013 *)

n->5^5\n  \\ - M. F. Hasler, Nov 30 2013

a(n) = floor(5^5/n).

A057074 a(n) = floor(12^12/n).

Original entry on oeis.org

8916100448256, 4458050224128, 2972033482752, 2229025112064, 1783220089651, 1486016741376, 1273728635465, 1114512556032, 990677827584, 891610044825, 810554586205, 743008370688, 685853880635, 636864317732, 594406696550

Offset: 1

Henry Bottomley, Jul 31 2000

Seiichi Manyama, Table of n, a(n) for n = 1..10000
Index entries for linear recurrences with constant coefficients, signature (1).

Cf. A000007, A033324, A033347, A057066-A057075.

a(n) = 12^12\n; \\ Seiichi Manyama, Aug 12 2023

A057068 a(n) = floor(6^6/n).

Original entry on oeis.org

46656, 23328, 15552, 11664, 9331, 7776, 6665, 5832, 5184, 4665, 4241, 3888, 3588, 3332, 3110, 2916, 2744, 2592, 2455, 2332, 2221, 2120, 2028, 1944, 1866, 1794, 1728, 1666, 1608, 1555, 1505, 1458, 1413, 1372, 1333, 1296, 1260, 1227, 1196, 1166, 1137

Offset: 1

Henry Bottomley, Jul 31 2000

Seiichi Manyama, Table of n, a(n) for n = 1..10000
Index entries for linear recurrences with constant coefficients, signature (1).

Cf. A000007, A033324, A033347, A057066-A057075.

a(n) = 6^6\n; \\ Seiichi Manyama, Aug 12 2023

A057069 a(n) = floor(7^7/n).

Original entry on oeis.org

823543, 411771, 274514, 205885, 164708, 137257, 117649, 102942, 91504, 82354, 74867, 68628, 63349, 58824, 54902, 51471, 48443, 45752, 43344, 41177, 39216, 37433, 35806, 34314, 32941, 31674, 30501, 29412, 28398, 27451, 26565, 25735

Offset: 1

Henry Bottomley, Jul 31 2000

Seiichi Manyama, Table of n, a(n) for n = 1..10000
Index entries for linear recurrences with constant coefficients, signature (1).

Cf. A000007, A033324, A033347, A057066-A057075.

a(n) = 7^7\n; \\ Seiichi Manyama, Aug 12 2023

A057070 a(n) = floor(8^8/n).

Original entry on oeis.org

16777216, 8388608, 5592405, 4194304, 3355443, 2796202, 2396745, 2097152, 1864135, 1677721, 1525201, 1398101, 1290555, 1198372, 1118481, 1048576, 986895, 932067, 883011, 838860, 798915, 762600, 729444, 699050, 671088, 645277

Offset: 1

Henry Bottomley, Jul 31 2000

Seiichi Manyama, Table of n, a(n) for n = 1..10000
Index entries for linear recurrences with constant coefficients, signature (1).

Cf. A000007, A033324, A033347, A057066-A057075.

Floor[16777216/Range[30]] (* Harvey P. Dale, Aug 14 2018 *)

a(n) = 8^8\n; \\ Seiichi Manyama, Aug 12 2023

A057071 a(n) = floor(9^9/n).

Original entry on oeis.org

387420489, 193710244, 129140163, 96855122, 77484097, 64570081, 55345784, 48427561, 43046721, 38742048, 35220044, 32285040, 29801576, 27672892, 25828032, 24213780, 22789440, 21523360, 20390552, 19371024, 18448594

Offset: 1

Henry Bottomley, Jul 31 2000

Seiichi Manyama, Table of n, a(n) for n = 1..10000
Index entries for linear recurrences with constant coefficients, signature (1).

Cf. A000007, A033324, A033347, A057066-A057075.

a(n) = 9^9\n; \\ Seiichi Manyama, Aug 12 2023

A057073 a(n) = floor(11^11/n).

Original entry on oeis.org

285311670611, 142655835305, 95103890203, 71327917652, 57062334122, 47551945101, 40758810087, 35663958826, 31701296734, 28531167061, 25937424601, 23775972550, 21947051585, 20379405043, 19020778040

Offset: 1

Henry Bottomley, Jul 31 2000

Seiichi Manyama, Table of n, a(n) for n = 1..10000
Index entries for linear recurrences with constant coefficients, signature (1).

Cf. A000007, A033324, A033347, A057066-A057075.

With[{c=11^11},Table[Floor[c/n],{n,20}]] (* Harvey P. Dale, Jun 10 2022 *)

a(n) = 11^11\n; \\ Seiichi Manyama, Aug 12 2023

cp's OEIS Frontend

A057072 a(n) = floor(10^10/n).

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A057075 Table read by antidiagonals of T(n,k)=floor(n^n/k) with n,k >= 1.

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A057067 a(n) = floor(5^5/n).

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Formula

A057074 a(n) = floor(12^12/n).

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A057068 a(n) = floor(6^6/n).

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A057069 a(n) = floor(7^7/n).

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A057070 a(n) = floor(8^8/n).

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Mathematica

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A057071 a(n) = floor(9^9/n).

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Programs

PARI

A057073 a(n) = floor(11^11/n).

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Mathematica

PARI