A004979 -id:A004979 - cp's OEIS frontend

A048212 Triangular array T read by rows: T(i,j)=b(i+1)-b(i+1-j); j=1,2,...,i; i=1,2,3,...; b=A004979.

2, 1, 3, 4, 5, 7, 6, 10, 11, 13, 8, 14, 18, 19, 21, 9, 17, 23, 27, 28, 30, 12, 21, 29, 35, 39, 40, 42, 15, 27, 36, 44, 50, 54, 55, 57, 16, 31, 43, 52, 60, 66, 70, 71, 73, 20, 36, 51, 63, 72, 80, 86, 90, 91, 93, 22, 42, 58, 73, 85, 94, 102, 108

Offset: 1

Clark Kimberling

			Rows: {2}; {1,3}; {4,5,7}; ...

A048216 a(n) = T(n,n), where array T is given by A048212.

Original entry on oeis.org

2, 3, 7, 13, 21, 30, 42, 57, 73, 93, 115, 139, 164, 190, 222, 255, 289, 326, 364, 405, 450, 497, 545, 598, 654, 713, 774, 836, 900, 968, 1037, 1111, 1187, 1264, 1342, 1423, 1507, 1594, 1682, 1771, 1867, 1965, 2065, 2168, 2273, 2379

Offset: 1

Clark Kimberling

nonn

a(1) = 2, a(2) = 3 and a(i) is the next smallest number greater than a(i-1) such that a(i) - a(j) is not a(1) or a(m) or a(m) - a(n) with 1 <= j < i, 1 <= n < m < i. - Ben Paul Thurston, Feb 18 2019

Cf. A004979, A048212.

a(n) = A004979(n + 1) - 1. - Sean A. Irvine, Jun 05 2021

A048217 a(n)=T(n+1,n), array T given by A048212.

Original entry on oeis.org

1, 5, 11, 19, 28, 40, 55, 71, 91, 113, 137, 162, 188, 220, 253, 287, 324, 362, 403, 448, 495, 543, 596, 652, 711, 772, 834, 898, 966, 1035, 1109, 1185, 1262, 1340, 1421, 1505, 1592, 1680, 1769, 1865, 1963, 2063, 2166, 2271, 2377

Offset: 1

Clark Kimberling

nonn

Cf. A004979.

a(n) = A004979(n + 2) - 3. - Sean A. Irvine, Jun 05 2021

A048218 a(n)=T(n+2,n), array T given by A048212.

Original entry on oeis.org

4, 10, 18, 27, 39, 54, 70, 90, 112, 136, 161, 187, 219, 252, 286, 323, 361, 402, 447, 494, 542, 595, 651, 710, 771, 833, 897, 965, 1034, 1108, 1184, 1261, 1339, 1420, 1504, 1591, 1679, 1768, 1864, 1962, 2062, 2165, 2270, 2376

Offset: 1

Clark Kimberling

nonn

Cf. A004979.

a(n) = A004979(n + 3) - 4. - Sean A. Irvine, Jun 05 2021

A048221 a(n)=T(2n-1,n), array T given by A048212.

Original entry on oeis.org

2, 5, 18, 35, 60, 94, 134, 180, 232, 291, 357, 430, 515, 610, 710, 815, 932, 1053, 1181, 1318, 1462, 1615, 1776, 1944, 2116, 2300, 2496, 2696, 2907, 3128, 3351, 3581, 3817, 4062, 4318, 4582, 4852, 5131, 5419, 5719, 6031, 6346, 6665, 6991, 7323, 7665, 8015

Offset: 1

Clark Kimberling

nonn

Cf. A004979.

a(n) = A004979(2*n) - A004979(n). - Sean A. Irvine, Jun 05 2021

More terms from Sean A. Irvine, Jun 05 2021

A048223 a(n)=T(n,1)+T(n,n), array T given by A048212.

Original entry on oeis.org

4, 4, 11, 19, 29, 39, 54, 72, 89, 113, 137, 163, 189, 216, 254, 288, 323, 363, 402, 446, 495, 544, 593, 651, 710, 772, 835, 898, 964, 1036, 1106, 1185, 1263, 1341, 1420, 1504, 1591, 1681, 1770, 1860, 1963, 2063, 2165, 2271, 2378

Offset: 1

Clark Kimberling

nonn

Cf. A004979.

a(n) = 2*A004979(n+1) - A004979(n) - 1. - Sean A. Irvine, Jun 05 2021

cp's OEIS Frontend

A048212 Triangular array T read by rows: T(i,j)=b(i+1)-b(i+1-j); j=1,2,...,i; i=1,2,3,...; b=A004979.

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A048216 a(n) = T(n,n), where array T is given by A048212.

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A048217 a(n)=T(n+1,n), array T given by A048212.

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A048218 a(n)=T(n+2,n), array T given by A048212.

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A048221 a(n)=T(2n-1,n), array T given by A048212.

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Extensions

A048223 a(n)=T(n,1)+T(n,n), array T given by A048212.

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