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A028275
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Elements in 4-Pascal triangle (by row).
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14
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1, 1, 1, 1, 4, 1, 1, 5, 5, 1, 1, 6, 10, 6, 1, 1, 7, 16, 16, 7, 1, 1, 8, 23, 32, 23, 8, 1, 1, 9, 31, 55, 55, 31, 9, 1, 1, 10, 40, 86, 110, 86, 40, 10, 1, 1, 11, 50, 126, 196, 196, 126, 50, 11, 1, 1, 12, 61, 176, 322, 392, 322, 176, 61, 12, 1, 1, 13, 73, 237, 498, 714, 714, 498, 237
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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FORMULA
| Apart from first 3 rows, use the Pascal rule.
T(n, k) = C(n, k) + 2C(n-2, k-1). G.f.: (1+2x^2y) / [1-x(1+y)]. - R. Stephan, Jan 31 2005
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EXAMPLE
| 1; 1 1; 1 4 1; 1 5 5 1; 1 6 10 6 1; ...
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CROSSREFS
| Cf. A028262, A028313.
Sequence in context: A153843 A099575 A173740 * A173118 A147289 A147566
Adjacent sequences: A028272 A028273 A028274 * A028276 A028277 A028278
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KEYWORD
| easy,nonn
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AUTHOR
| Mohammad K. Azarian (ma3(AT)evansville.edu)
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EXTENSIONS
| More terms from Ben Baugher (s1191623(AT)cedarville.edu)
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