cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A325737 First term of n-th difference sequence of (floor(3e*k)), k >= 0.

Original entry on oeis.org

8, 0, 0, 0, 0, 0, 1, -7, 28, -84, 210, -462, 925, -1729, 3094, -5460, 9828, -18564, 37128, -77519, 164710, -347984, 719719, -1444170, 2796248, -5200299, 9230104, -15459444, 23888319, -32317194, 32317194, 0, -124040423, 476768435, -1358719271, 3407426841
Offset: 1

Views

Author

Clark Kimberling, May 23 2019

Keywords

Links

Crossrefs

Cf. A325664.

Programs

  • Mathematica
    Table[First[Differences[Table[Floor[3E*n], {n, 0, 50}], n]], {n, 1, 50}]

A325738 First term of n-th difference sequence of (floor(e*k/2)), k >= 0.

Original entry on oeis.org

1, 0, 1, -3, 6, -9, 9, 0, -27, 81, -162, 243, -243, 1, 714, -2067, 3695, -3519, -4896, 37621, -129999, 352716, -836111, 1802901, -3605802, 6760781, -11961081, 20058301, -32017846, 48916881, -72174561, 104394081, -151428366, 226511451, -357639591, 600805296
Offset: 1

Views

Author

Clark Kimberling, May 23 2019

Keywords

Links

Crossrefs

Cf. A325664.

Programs

  • Mathematica
    Table[First[Differences[Table[Floor[(E/2)*n], {n, 0, 50}], n]], {n, 1, 50}]

A325739 First term of n-th difference sequence of (floor(Pi*k)), k >= 0.

Original entry on oeis.org

3, 0, 0, 0, 0, 0, 0, 1, -8, 36, -120, 330, -792, 1716, -3431, 6420, -11320, 18768, -28764, 38760, -38760, 1, 149204, -571780, 1613128, -3964050, 8934120, -18874260, 37748521, -71705864, 129080160, -218205280, 339081224, -459957168, 459957168, 1, -1749692736
Offset: 1

Views

Author

Clark Kimberling, May 23 2019

Keywords

Links

Crossrefs

Cf. A022844, A325664.

Programs

  • Mathematica
    Table[First[Differences[Table[Floor[Pi*n], {n, 0, 50}], n]], {n, 1, 50}]

A325740 First term of n-th difference sequence of (floor(2*Pi*k)), k >= 0.

Original entry on oeis.org

6, 0, 0, 1, -4, 10, -20, 36, -64, 120, -239, 484, -946, 1716, -2794, 3872, -3872, 1, 14160, -52478, 143716, -345400, 767976, -1613128, 3226257, -6148960, 11119030, -18874260, 29414650, -39955040, 39955040, 1, -151615948, 575723786, -1611404740, 3936821260
Offset: 1

Views

Author

Clark Kimberling, May 23 2019

Keywords

Links

Crossrefs

Cf. A019669, A325664. Inverse binomial transform of A038130.

Programs

  • Mathematica
    Table[First[Differences[Table[Floor[2Pi*n], {n, 0, 50}], n]], {n, 1, 50}]

A325741 First term of n-th difference sequence of (floor(Pi*k/2)), k >= 0.

Original entry on oeis.org

1, 1, -2, 4, -8, 16, -32, 64, -127, 246, -456, 792, -1254, 1716, -1716, 1, 6418, -24156, 67080, -162924, 364608, -767976, 1535953, -2922702, 5273624, -8934120, 13904190, -18874260, 18874260, 1, -71705866, 272491892, -763189064, 1865459352, -4190875872
Offset: 1

Views

Author

Clark Kimberling, May 23 2019

Keywords

Links

Crossrefs

Cf. A019669, A325664.

Programs

  • Mathematica
    Table[First[Differences[Table[Floor[(Pi/2)*n], {n, 0, 50}], n]], {n, 1, 50}]

A325742 First term of n-th difference sequence of (floor(Pi*k/3)), k >= 0.

Original entry on oeis.org

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -22, 253, -2024, 12650, -65780, 296010, -1184040, 4292145, -14307150, 44352165, -129024480, 354817320, -927983760, 2319959400, -5567902560, 12875774670, -28781143380, 62359143990
Offset: 1

Views

Author

Clark Kimberling, Jun 05 2019

Keywords

Links

Crossrefs

Cf. A019670, A325664.

Programs

  • Mathematica
    Table[First[Differences[Table[Floor[(Pi/3)*n], {n, 0, 50}], n]], {n, 1, 50}]

A325743 First term of n-th difference sequence of (floor(Pi*k/4)), k >= 0.

Original entry on oeis.org

0, 1, -1, 1, -2, 6, -16, 36, -71, 126, -201, 276, -276, 0, 1014, -3744, 10179, -24309, 54126, -115614, 240444, -490104, 980209, -1918752, 3658449, -6750224, 11950524, -20058300, 31303782, -43733304, 49586229, -28048799, -67798986, 331797126, -932095976
Offset: 1

Views

Author

Clark Kimberling, Jun 06 2019

Keywords

Links

Crossrefs

Cf. A003881, A325664.

Programs

  • Mathematica
    Table[First[Differences[Table[Floor[(Pi/4)*n], {n, 0, 50}], n]], {n, 1, 50}]

A325744 First term of n-th difference sequence of (floor(Pi*k/6)), k >= 0.

Original entry on oeis.org

0, 1, -2, 4, -8, 16, -32, 64, -128, 256, -512, 1024, -2048, 4096, -8192, 16384, -32768, 65536, -131072, 262144, -524288, 1048576, -2097151, 4194280, -8388307, 16774590, -33536530, 67007280, -133718550, 266253060, -528213975, 1042120800, -2039889435
Offset: 1

Views

Author

Clark Kimberling, Jun 06 2019

Keywords

Links

Crossrefs

Cf. A019673, A325664.

Programs

  • Mathematica
    Table[First[Differences[Table[Floor[(Pi/6)*n], {n, 0, 50}], n]], {n, 1, 50}]

A325746 First term of n-th difference sequence of (floor(r*k)), r = -(1+sqrt(5))/2, k >= 0.

Original entry on oeis.org

-2, 0, 1, -3, 6, -9, 9, 1, -36, 126, -326, 726, -1452, 2640, -4356, 6436, -8256, 8568, -5864, 456, -911, 40106, -210419, 733448, -2085526, 5200300, -11748374, 24416952, -46909838, 82930836, -132479946, 182029056, -182029056, 0, 670853984, -2480588544
Offset: 1

Views

Author

Clark Kimberling, Jun 06 2019

Keywords

Links

Crossrefs

Cf. A000201, A001622, A325745, A325664.

Programs

  • Mathematica
    Table[First[Differences[Table[Floor[-GoldenRatio*n], {n, 0, 50}], n]], {n, 2, 50}]

A325840 First term of n-th difference sequence of (round(k*sqrt(2))), k >= 0.

Original entry on oeis.org

1, 1, -2, 4, -8, 15, -25, 35, -35, 0, 126, -462, 1253, -2989, 6615, -13867, 27734, -52921, 95863, -163115, 255493, -352716, 379050, -134596, -828875, 3407821, -9217717, 20837509, -41675018, 74480265, -116145145, 143502875, -78990635, -286097760, 1453179125
Offset: 1

Views

Author

Clark Kimberling, Jun 09 2019

Keywords

Links

Crossrefs

Cf. A325664.

Programs

  • Mathematica
    Table[First[Differences[Table[Round[Sqrt[2]*n], {n, 0, 50}], n]], {n, 1, 50}]
Previous Showing 21-30 of 36 results. Next

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